Algebra - Simultaneous Equations - Solving by Elimination
Question 1
Solve the following simulatenous equations by elimination
a) $x+y=5$
$x=2$
a
$x=2$, $y=3$
Question ID: 20170010010
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b) $x+y=18$
$x=13$
a
$x=13$, $y=5$
Question ID: 20170010020
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c) $x+y=7$
$y=4$
a
$x=3$, $y=4$
Question ID: 20170010030
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d) $x+y=14$
$y=6$
a
$x=8$, $y=6$
Question ID: 20170010040
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e) $x+2y=6$
$x=2$
a
$x=2$, $y=2$
Question ID: 20170010050
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f) $x+5y=9$
$x=4$
a
$x=4$, $y=1$
Question ID: 20170010060
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g) $2x+y=17$
$y=3$
a
$x=7$, $y=3$
Question ID: 20170010070
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h) $8x+y=30$
$y=6$
a
$x=3$, $y=6$
Question ID: 20170010080
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Question 2
Solve the following simulatenous equations by elimination
a) $2x+3y=8$
$2x=2$
a
$x=1$, $y=2$
Question ID: 20170020010
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b) $3x+5y=27$
$3x=12$
a
$x=4$, $y=3$
Question ID: 20170020020
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c) $7x+4y=27$
$4y=20$
a
$x=1$, $y=5$
Question ID: 20170020030
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d) $2x+5y=30$
$5y=10$
a
$x=10$, $y=2$
Question ID: 20170020040
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e) $2x+3y=33$
$x=3$
a
$x=3$, $y=9$
Question ID: 20170020050
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f) $3x+9y=24$
$x=5$
a
$x=5$, $y=1$
Question ID: 20170020060
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g) $8x+5y=26$
$y=2$
a
$x=2$, $y=2$
Question ID: 20170020070
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h) $5x+7y=67$
$y=6$
a
$x=5$, $y=6$
Question ID: 20170020080
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Question 3
Solve the following simulatenous equations by elimination
a) $x-y=7$
$y=2$
a
$x=9$, $y=2$
Question ID: 20170030010
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b) $x-y=15$
$y=5$
a
$x=10$, $y=5$
Question ID: 20170030020
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c) $y-x=100$
$x=16$
a
$x=16$, $y=116$
Question ID: 20170030030
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d) $x-2y=5$
$2y=8$
a
$x=13$, $y=4$
Question ID: 20170030040
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e) $10x-6y=2$
$6y=18$
a
$x=2$, $y=3$
Question ID: 20170030050
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f) $3x-2y=22$
$y=1$
a
$x=8$, $y=1$
Question ID: 20170030060
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g) $9x-5y=12$
$y=3$
a
$x=3$, $y=3$
Question ID: 20170030070
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h) $7x-8y=6$
$y=8$
a
$x=10$, $y=8$
Question ID: 20170030080
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Question 4
Solve the following simulatenous equations by elimination
a) $x+y=7$
$x-y=1$
a
$x=4$, $y=3$
Question ID: 20170040010
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b) $x+y=9$
$x-y=5$
a
$x=7$, $y=2$
Question ID: 20170040020
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c) $2x+y=13$
$x-y=2$
a
$x=5$, $y=3$
Question ID: 20170040030
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d) $3x+y=31$
$x-y=9$
a
$x=10$, $y=1$
Question ID: 20170040040
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e) $2x+y=12$
$2x-y=8$
a
$x=5$, $y=2$
Question ID: 20170040050
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f) $2x+y=13$
$3x-y=7$
a
$x=4$, $y=5$
Question ID: 20170040060
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g) $6x+2y=30$
$5x-2y=3$
a
$x=3$, $y=6$
Question ID: 20170040070
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h) $x+5y=44$
$8x-5y=37$
a
$x=9$, $y=7$
Question ID: 20170040080
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Question 5
Solve the following simulatenous equations by elimination
a) $2x+y=13$
$x+y=8$
a
$x=5$, $y=3$
Question ID: 20170050010
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b) $3x+y=15$
$2x+y=12$
a
$x=3$, $y=6$
Question ID: 20170050020
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c) $7x+y=15$
$6x+y=13$
a
$x=2$, $y=1$
Question ID: 20170050030
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d) $3x+y=10$
$x+y=8$
a
$x=1$, $y=7$
Question ID: 20170050040
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e) $7x+y=65$
$4x+y=38$
a
$x=9$, $y=2$
Question ID: 20170050050
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f) $x+5y=29$
$x+2y=14$
a
$x=4$, $y=5$
Question ID: 20170050060
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g) $x+10y=46$
$x+3y=18$
a
$x=6$, $y=4$
Question ID: 20170050070
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h) $3x+6y=69$
$3x+y=29$
a
$x=7$, $y=8$
Question ID: 20170050080
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Question 6
Solve the following simulatenous equations by elimination
a) $3x-y=12$
$5x+y=28$
a
$x=5$, $y=3$
Question ID: 20170060010
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b) $x+5y=17$
$x+y=9$
a
$x=7$, $y=2$
Question ID: 20170060020
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c) $x+6y=16$
$x-2y=8$
a
$x=10$, $y=1$
Question ID: 20170060030
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d) $3x-y=2$
$4x-y=4$
a
$x=2$, $y=4$
Question ID: 20170060040
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e) $3x-3y=27$
$x-3y=3$
a
$x=12$, $y=3$
Question ID: 20170060050
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f) $4x-3y=21$
$4x+8y=76$
a
$x=9$, $y=5$
Question ID: 20170060060
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g) $x+2y=5$
$5x-2y=-11$
a
$x=-1$, $y=3$
Question ID: 20170060070
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h) $6x+3y=-9$
$-6x-5y=17$
a
$x=\frac12$, $y=-4$
Question ID: 20170060080
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Question 7
Solve the following simulatenous equations by elimination
a) $2x+3y=19$
$x+y=7$
a
$x=2$, $y=5$
Question ID: 20170070010
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b) $x+3y=6$
$5x+y=16$
a
$x=3$, $y=1$
Question ID: 20170070020
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c) $2x+2y=26$
$5x+y=33$
a
$x=5$, $y=8$
Question ID: 20170070030
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d) $3x+5y=14$
$x+7y=10$
a
$x=3$, $y=1$
Question ID: 20170070040
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e) $4x+3y=23$
$2x+5y=29$
a
$x=2$, $y=5$
Question ID: 20170070050
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f) $3x+6y=15$
$4x+2y=14$
a
$x=3$, $y=1$
Question ID: 20170070060
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g) $10x+2y=78$
$5x+7y=93$
a
$x=6$, $y=9$
Question ID: 20170070070
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h) $8x+4y=52$
$9x+12y=96$
a
$x=4$, $y=5$
Question ID: 20170070080
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Question 8
Solve the following simulatenous equations by elimination
a) $3x-y=5$
$4x+2y=10$
a
$x=2$, $y=1$
Question ID: 20170080010
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Question ID: 20170080010
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b) $4x-y=17$
$5x+3y=34$
a
$x=5$, $y=3$
Question ID: 20170080020
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Question ID: 20170080020
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c) $x+5y=37$
$-2x+2y=10$
a
$x=2$, $y=7$
Question ID: 20170080030
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d) $x+8y=81$
$-5x+9y=85$
a
$x=1$, $y=10$
Question ID: 20170080040
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e) $3x-2y=18$
$5x+4y=52$
a
$x=8$, $y=3$
Question ID: 20170080050
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f) $3x-3y=24$
$2x+9y=38$
a
$x=10$, $y=2$
Question ID: 20170080060
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g) $-2x-3y=-37$
$6x+8y=102$
a
$x=5$, $y=9$
Question ID: 20170080070
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h) $20x-5y=35$
$-4x+7y=23$
a
$x=3$, $y=5$
Question ID: 20170080080
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Question 9
Solve the following simulatenous equations by elimination
a) $2x+3y=8$
$3x+7y=17$
a
$x=1$, $y=2$
Question ID: 20170090010
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b) $5x+2y=31$
$4x+3y=29$
a
$x=5$, $y=3$
Question ID: 20170090020
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c) $8x-4y=4$
$10x+5y=75$
a
$x=4$, $y=7$
Question ID: 20170090030
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d) $-2x-3y=-12$
$3x+7y=23$
a
$x=3$, $y=2$
Question ID: 20170090040
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e) $4x+5y=39$
$3x+3y=27$
a
$x=6$, $y=3$
Question ID: 20170090050
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f) $4x-3y=29$
$3x+4y=53$
a
$x=11$, $y=5$
Question ID: 20170090060
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g) $5x+7y=78$
$3x+2y=27$
a
$x=3$, $y=9$
Question ID: 20170090070
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h) $10x+9y=162$
$6x-5y=14$
a
$x=9$, $y=8$
Question ID: 20170090080
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Question 10
Solve the following simulatenous equations by elimination. Answers may be negative numbers
a) $3x+4y=5$
$2x+5y=8$
a
$x=-1$, $y=2$
Question ID: 20170100010
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Question ID: 20170100010
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b) $5x+3y=9$
$2x-4y=14$
a
$x=3$, $y=-2$
Question ID: 20170100020
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c) $7x-2y=-8$
$3x-5y=9$
a
$x=-2$, $y=-3$
Question ID: 20170100030
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d) $2x-3y=21$
$5x-2y=25$
a
$x=3$, $y=-5$
Question ID: 20170100040
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e) $-2x-5y=32$
$3x-4y=-2$
a
$x=-6$, $y=-4$
Question ID: 20170100050
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f) $-3x+8y=30$
$7x-3y=-70$
a
$x=-10$, $y=0$
Question ID: 20170100060
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g) $5x+2y=12$
$8x+9y=-4$
a
$x=4$, $y=-4$
Question ID: 20170100070
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h) $11x+2y=-123$
$2x-11y=114$
a
$x=-9$, $y=-12$
Question ID: 20170100080
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Question 11
Solve the following simulatenous equations by elimination. Answers may be fractions or negative. Leave fractions as improper/top heavy fractions where necessary
a) $4x+2y=6$
$6x+4y=11$
a
$x=\frac12$, $y=2$
Question ID: 20170110010
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b) $3x-3y=14$
$2x+12y=14$
a
$x=5$, $y=\frac13$
Question ID: 20170110020
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c) $6x-4y=3$
$15x-16y=6$
a
$x=\frac23$, $y=\frac14$
Question ID: 20170110030
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d) $5x+2y=6$
$8x-3y=\frac{3}{10}$
a
$x=\frac35$, $y=\frac32$
Question ID: 20170110040
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e) $2x-3y=-4$
$5x-2y=-5\frac{5}{12}6$
a
$x=-\frac34$, $y=\frac56$
Question ID: 20170110050
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f) $16x+40y=-2$
$2x-15y=-\frac54$
a
$x=\frac18$, $y=-\frac{1}{10}$
Question ID: 20170110060
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g) $3x-4y=\frac{29}{5}$
$16x+9y=-44\frac{9}{10}$
a
$x=-\frac75$, $y=-\frac52$
Question ID: 20170110070
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h) $\frac12x+3y=-1\frac{182}{187}$
$\frac25x-2\frac34y=-\frac{239}{3740}$
a
$x=-2\frac{2}{11}$, $y=-\frac{5}{17}$
Question ID: 20170110080
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Question 1
Solve the following simulatenous equations by elimination
a) $x+y=5$
$x=2$
b) $x+y=18$
$x=13$
c) $x+y=7$
$y=4$
d) $x+y=14$
$y=6$
e) $x+2y=6$
$x=2$
f) $x+5y=9$
$x=4$
g) $2x+y=17$
$y=3$
h) $8x+y=30$
$y=6$
Question 2
Solve the following simulatenous equations by elimination
a) $2x+3y=8$
$2x=2$
b) $3x+5y=27$
$3x=12$
c) $7x+4y=27$
$4y=20$
d) $2x+5y=30$
$5y=10$
e) $2x+3y=33$
$x=3$
f) $3x+9y=24$
$x=5$
g) $8x+5y=26$
$y=2$
h) $5x+7y=67$
$y=6$
Question 3
Solve the following simulatenous equations by elimination
a) $x-y=7$
$y=2$
b) $x-y=15$
$y=5$
c) $y-x=100$
$x=16$
d) $x-2y=5$
$2y=8$
e) $10x-6y=2$
$6y=18$
f) $3x-2y=22$
$y=1$
g) $9x-5y=12$
$y=3$
h) $7x-8y=6$
$y=8$
Question 4
Solve the following simulatenous equations by elimination
a) $x+y=7$
$x-y=1$
b) $x+y=9$
$x-y=5$
c) $2x+y=13$
$x-y=2$
d) $3x+y=31$
$x-y=9$
e) $2x+y=12$
$2x-y=8$
f) $2x+y=13$
$3x-y=7$
g) $6x+2y=30$
$5x-2y=3$
h) $x+5y=44$
$8x-5y=37$
Question 5
Solve the following simulatenous equations by elimination
a) $2x+y=13$
$x+y=8$
b) $3x+y=15$
$2x+y=12$
c) $7x+y=15$
$6x+y=13$
d) $3x+y=10$
$x+y=8$
e) $7x+y=65$
$4x+y=38$
f) $x+5y=29$
$x+2y=14$
g) $x+10y=46$
$x+3y=18$
h) $3x+6y=69$
$3x+y=29$
Question 6
Solve the following simulatenous equations by elimination
a) $3x-y=12$
$5x+y=28$
b) $x+5y=17$
$x+y=9$
c) $x+6y=16$
$x-2y=8$
d) $3x-y=2$
$4x-y=4$
e) $3x-3y=27$
$x-3y=3$
f) $4x-3y=21$
$4x+8y=76$
g) $x+2y=5$
$5x-2y=-11$
h) $6x+3y=-9$
$-6x-5y=17$
Question 7
Solve the following simulatenous equations by elimination
a) $2x+3y=19$
$x+y=7$
b) $x+3y=6$
$5x+y=16$
c) $2x+2y=26$
$5x+y=33$
d) $3x+5y=14$
$x+7y=10$
e) $4x+3y=23$
$2x+5y=29$
f) $3x+6y=15$
$4x+2y=14$
g) $10x+2y=78$
$5x+7y=93$
h) $8x+4y=52$
$9x+12y=96$
Question 8
Solve the following simulatenous equations by elimination
a) $3x-y=5$
$4x+2y=10$
b) $4x-y=17$
$5x+3y=34$
c) $x+5y=37$
$-2x+2y=10$
d) $x+8y=81$
$-5x+9y=85$
e) $3x-2y=18$
$5x+4y=52$
f) $3x-3y=24$
$2x+9y=38$
g) $-2x-3y=-37$
$6x+8y=102$
h) $20x-5y=35$
$-4x+7y=23$
Question 9
Solve the following simulatenous equations by elimination
a) $2x+3y=8$
$3x+7y=17$
b) $5x+2y=31$
$4x+3y=29$
c) $8x-4y=4$
$10x+5y=75$
d) $-2x-3y=-12$
$3x+7y=23$
e) $4x+5y=39$
$3x+3y=27$
f) $4x-3y=29$
$3x+4y=53$
g) $5x+7y=78$
$3x+2y=27$
h) $10x+9y=162$
$6x-5y=14$
Question 10
Solve the following simulatenous equations by elimination. Answers may be negative numbers
a) $3x+4y=5$
$2x+5y=8$
b) $5x+3y=9$
$2x-4y=14$
c) $7x-2y=-8$
$3x-5y=9$
d) $2x-3y=21$
$5x-2y=25$
e) $-2x-5y=32$
$3x-4y=-2$
f) $-3x+8y=30$
$7x-3y=-70$
g) $5x+2y=12$
$8x+9y=-4$
h) $11x+2y=-123$
$2x-11y=114$
Question 11
Solve the following simulatenous equations by elimination. Answers may be fractions or negative. Leave fractions as improper/top heavy fractions where necessary
a) $4x+2y=6$
$6x+4y=11$
b) $3x-3y=14$
$2x+12y=14$
c) $6x-4y=3$
$15x-16y=6$
d) $5x+2y=6$
$8x-3y=\frac{3}{10}$
e) $2x-3y=-4$
$5x-2y=-5\frac{5}{12}6$
f) $16x+40y=-2$
$2x-15y=-\frac54$
g) $3x-4y=\frac{29}{5}$
$16x+9y=-44\frac{9}{10}$
h) $\frac12x+3y=-1\frac{182}{187}$
$\frac25x-2\frac34y=-\frac{239}{3740}$
Answers
Question 1
a) $x=2$, $y=3$
b) $x=13$, $y=5$
c) $x=3$, $y=4$
d) $x=8$, $y=6$
e) $x=2$, $y=2$
f) $x=4$, $y=1$
g) $x=7$, $y=3$
h) $x=3$, $y=6$
Question 2
a) $x=1$, $y=2$
b) $x=4$, $y=3$
c) $x=1$, $y=5$
d) $x=10$, $y=2$
e) $x=3$, $y=9$
f) $x=5$, $y=1$
g) $x=2$, $y=2$
h) $x=5$, $y=6$
Question 3
a) $x=9$, $y=2$
b) $x=10$, $y=5$
c) $x=16$, $y=116$
d) $x=13$, $y=4$
e) $x=2$, $y=3$
f) $x=8$, $y=1$
g) $x=3$, $y=3$
h) $x=10$, $y=8$
Question 4
a) $x=4$, $y=3$
b) $x=7$, $y=2$
c) $x=5$, $y=3$
d) $x=10$, $y=1$
e) $x=5$, $y=2$
f) $x=4$, $y=5$
g) $x=3$, $y=6$
h) $x=9$, $y=7$
Question 5
a) $x=5$, $y=3$
b) $x=3$, $y=6$
c) $x=2$, $y=1$
d) $x=1$, $y=7$
e) $x=9$, $y=2$
f) $x=4$, $y=5$
g) $x=6$, $y=4$
h) $x=7$, $y=8$
Question 6
a) $x=5$, $y=3$
b) $x=7$, $y=2$
c) $x=10$, $y=1$
d) $x=2$, $y=4$
e) $x=12$, $y=3$
f) $x=9$, $y=5$
g) $x=-1$, $y=3$
h) $x=\frac12$, $y=-4$
Question 7
a) $x=2$, $y=5$
b) $x=3$, $y=1$
c) $x=5$, $y=8$
d) $x=3$, $y=1$
e) $x=2$, $y=5$
f) $x=3$, $y=1$
g) $x=6$, $y=9$
h) $x=4$, $y=5$
Question 8
a) $x=2$, $y=1$
b) $x=5$, $y=3$
c) $x=2$, $y=7$
d) $x=1$, $y=10$
e) $x=8$, $y=3$
f) $x=10$, $y=2$
g) $x=5$, $y=9$
h) $x=3$, $y=5$
Question 9
a) $x=1$, $y=2$
b) $x=5$, $y=3$
c) $x=4$, $y=7$
d) $x=3$, $y=2$
e) $x=6$, $y=3$
f) $x=11$, $y=5$
g) $x=3$, $y=9$
h) $x=9$, $y=8$
Question 10
a) $x=-1$, $y=2$
b) $x=3$, $y=-2$
c) $x=-2$, $y=-3$
d) $x=3$, $y=-5$
e) $x=-6$, $y=-4$
f) $x=-10$, $y=0$
g) $x=4$, $y=-4$
h) $x=-9$, $y=-12$
Question 11
a) $x=\frac12$, $y=2$
b) $x=5$, $y=\frac13$
c) $x=\frac23$, $y=\frac14$
d) $x=\frac35$, $y=\frac32$
e) $x=-\frac34$, $y=\frac56$
f) $x=\frac18$, $y=-\frac{1}{10}$
g) $x=-\frac75$, $y=-\frac52$
h) $x=-2\frac{2}{11}$, $y=-\frac{5}{17}$
Question 1
Solve the following simulatenous equations by elimination
a) $x+y=5$
$x=2$
b) $x+y=18$
$x=13$
c) $x+y=7$
$y=4$
d) $x+y=14$
$y=6$
e) $x+2y=6$
$x=2$
f) $x+5y=9$
$x=4$
g) $2x+y=17$
$y=3$
h) $8x+y=30$
$y=6$
Question 2
Solve the following simulatenous equations by elimination
a) $2x+3y=8$
$2x=2$
b) $3x+5y=27$
$3x=12$
c) $7x+4y=27$
$4y=20$
d) $2x+5y=30$
$5y=10$
e) $2x+3y=33$
$x=3$
f) $3x+9y=24$
$x=5$
g) $8x+5y=26$
$y=2$
h) $5x+7y=67$
$y=6$
Question 3
Solve the following simulatenous equations by elimination
a) $x-y=7$
$y=2$
b) $x-y=15$
$y=5$
c) $y-x=100$
$x=16$
d) $x-2y=5$
$2y=8$
e) $10x-6y=2$
$6y=18$
f) $3x-2y=22$
$y=1$
g) $9x-5y=12$
$y=3$
h) $7x-8y=6$
$y=8$
Question 4
Solve the following simulatenous equations by elimination
a) $x+y=7$
$x-y=1$
b) $x+y=9$
$x-y=5$
c) $2x+y=13$
$x-y=2$
d) $3x+y=31$
$x-y=9$
e) $2x+y=12$
$2x-y=8$
f) $2x+y=13$
$3x-y=7$
g) $6x+2y=30$
$5x-2y=3$
h) $x+5y=44$
$8x-5y=37$
Question 5
Solve the following simulatenous equations by elimination
a) $2x+y=13$
$x+y=8$
b) $3x+y=15$
$2x+y=12$
c) $7x+y=15$
$6x+y=13$
d) $3x+y=10$
$x+y=8$
e) $7x+y=65$
$4x+y=38$
f) $x+5y=29$
$x+2y=14$
g) $x+10y=46$
$x+3y=18$
h) $3x+6y=69$
$3x+y=29$
Question 6
Solve the following simulatenous equations by elimination
a) $3x-y=12$
$5x+y=28$
b) $x+5y=17$
$x+y=9$
c) $x+6y=16$
$x-2y=8$
d) $3x-y=2$
$4x-y=4$
e) $3x-3y=27$
$x-3y=3$
f) $4x-3y=21$
$4x+8y=76$
g) $x+2y=5$
$5x-2y=-11$
h) $6x+3y=-9$
$-6x-5y=17$
Question 7
Solve the following simulatenous equations by elimination
a) $2x+3y=19$
$x+y=7$
b) $x+3y=6$
$5x+y=16$
c) $2x+2y=26$
$5x+y=33$
d) $3x+5y=14$
$x+7y=10$
e) $4x+3y=23$
$2x+5y=29$
f) $3x+6y=15$
$4x+2y=14$
g) $10x+2y=78$
$5x+7y=93$
h) $8x+4y=52$
$9x+12y=96$
Question 8
Solve the following simulatenous equations by elimination
a) $3x-y=5$
$4x+2y=10$
b) $4x-y=17$
$5x+3y=34$
c) $x+5y=37$
$-2x+2y=10$
d) $x+8y=81$
$-5x+9y=85$
e) $3x-2y=18$
$5x+4y=52$
f) $3x-3y=24$
$2x+9y=38$
g) $-2x-3y=-37$
$6x+8y=102$
h) $20x-5y=35$
$-4x+7y=23$
Question 9
Solve the following simulatenous equations by elimination
a) $2x+3y=8$
$3x+7y=17$
b) $5x+2y=31$
$4x+3y=29$
c) $8x-4y=4$
$10x+5y=75$
d) $-2x-3y=-12$
$3x+7y=23$
e) $4x+5y=39$
$3x+3y=27$
f) $4x-3y=29$
$3x+4y=53$
g) $5x+7y=78$
$3x+2y=27$
h) $10x+9y=162$
$6x-5y=14$
Question 10
Solve the following simulatenous equations by elimination. Answers may be negative numbers
a) $3x+4y=5$
$2x+5y=8$
b) $5x+3y=9$
$2x-4y=14$
c) $7x-2y=-8$
$3x-5y=9$
d) $2x-3y=21$
$5x-2y=25$
e) $-2x-5y=32$
$3x-4y=-2$
f) $-3x+8y=30$
$7x-3y=-70$
g) $5x+2y=12$
$8x+9y=-4$
h) $11x+2y=-123$
$2x-11y=114$
Question 11
Solve the following simulatenous equations by elimination. Answers may be fractions or negative. Leave fractions as improper/top heavy fractions where necessary
a) $4x+2y=6$
$6x+4y=11$
b) $3x-3y=14$
$2x+12y=14$
c) $6x-4y=3$
$15x-16y=6$
d) $5x+2y=6$
$8x-3y=\frac{3}{10}$
e) $2x-3y=-4$
$5x-2y=-5\frac{5}{12}6$
f) $16x+40y=-2$
$2x-15y=-\frac54$
g) $3x-4y=\frac{29}{5}$
$16x+9y=-44\frac{9}{10}$
h) $\frac12x+3y=-1\frac{182}{187}$
$\frac25x-2\frac34y=-\frac{239}{3740}$
Answers
Question 1
a) $x=2$, $y=3$
b) $x=13$, $y=5$
c) $x=3$, $y=4$
d) $x=8$, $y=6$
e) $x=2$, $y=2$
f) $x=4$, $y=1$
g) $x=7$, $y=3$
h) $x=3$, $y=6$
Question 2
a) $x=1$, $y=2$
b) $x=4$, $y=3$
c) $x=1$, $y=5$
d) $x=10$, $y=2$
e) $x=3$, $y=9$
f) $x=5$, $y=1$
g) $x=2$, $y=2$
h) $x=5$, $y=6$
Question 3
a) $x=9$, $y=2$
b) $x=10$, $y=5$
c) $x=16$, $y=116$
d) $x=13$, $y=4$
e) $x=2$, $y=3$
f) $x=8$, $y=1$
g) $x=3$, $y=3$
h) $x=10$, $y=8$
Question 4
a) $x=4$, $y=3$
b) $x=7$, $y=2$
c) $x=5$, $y=3$
d) $x=10$, $y=1$
e) $x=5$, $y=2$
f) $x=4$, $y=5$
g) $x=3$, $y=6$
h) $x=9$, $y=7$
Question 5
a) $x=5$, $y=3$
b) $x=3$, $y=6$
c) $x=2$, $y=1$
d) $x=1$, $y=7$
e) $x=9$, $y=2$
f) $x=4$, $y=5$
g) $x=6$, $y=4$
h) $x=7$, $y=8$
Question 6
a) $x=5$, $y=3$
b) $x=7$, $y=2$
c) $x=10$, $y=1$
d) $x=2$, $y=4$
e) $x=12$, $y=3$
f) $x=9$, $y=5$
g) $x=-1$, $y=3$
h) $x=\frac12$, $y=-4$
Question 7
a) $x=2$, $y=5$
b) $x=3$, $y=1$
c) $x=5$, $y=8$
d) $x=3$, $y=1$
e) $x=2$, $y=5$
f) $x=3$, $y=1$
g) $x=6$, $y=9$
h) $x=4$, $y=5$
Question 8
a) $x=2$, $y=1$
b) $x=5$, $y=3$
c) $x=2$, $y=7$
d) $x=1$, $y=10$
e) $x=8$, $y=3$
f) $x=10$, $y=2$
g) $x=5$, $y=9$
h) $x=3$, $y=5$
Question 9
a) $x=1$, $y=2$
b) $x=5$, $y=3$
c) $x=4$, $y=7$
d) $x=3$, $y=2$
e) $x=6$, $y=3$
f) $x=11$, $y=5$
g) $x=3$, $y=9$
h) $x=9$, $y=8$
Question 10
a) $x=-1$, $y=2$
b) $x=3$, $y=-2$
c) $x=-2$, $y=-3$
d) $x=3$, $y=-5$
e) $x=-6$, $y=-4$
f) $x=-10$, $y=0$
g) $x=4$, $y=-4$
h) $x=-9$, $y=-12$
Question 11
a) $x=\frac12$, $y=2$
b) $x=5$, $y=\frac13$
c) $x=\frac23$, $y=\frac14$
d) $x=\frac35$, $y=\frac32$
e) $x=-\frac34$, $y=\frac56$
f) $x=\frac18$, $y=-\frac{1}{10}$
g) $x=-\frac75$, $y=-\frac52$
h) $x=-2\frac{2}{11}$, $y=-\frac{5}{17}$
Solutions
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Question 2
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Question 10
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Question 11
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