Algebra - Simultaneous Equations - Solving by Substitution
Question 1
Solve the following simultaneous equations by substitution
a) $x=2$
$y=3x$
a
$x=2$, $y=6$
Question ID: 20160010010
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b) $x=5$
$y=4x$
a
$x=5$, $y=20$
Question ID: 20160010020
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c) $x=11$
$y=10x$
a
$x=11$, $y=110$
Question ID: 20160010030
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d) $y=6$
$x=2y$
a
$x=12$, $y=6$
Question ID: 20160010040
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e) $y=7$
$x=5y$
a
$x=35$, $y=7$
Question ID: 20160010050
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f) $y=x+5$
$x=4$
a
$x=4$, $y=9$
Question ID: 20160010060
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g) $x=16$
$y=2x-1$
a
$x=16$, $y=31$
Question ID: 20160010070
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h) $x=4+2y$
$y=8$
a
$x=20$, $y=8$
Question ID: 20160010080
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Question 2
Solve the following simultaneous equations by substitution
a) $y=x+1$
$y=2x$
a
$x=1$, $y=2$
Question ID: 20160020010
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b) $y=x+4$
$y=2x$
a
$x=4$, $y=8$
Question ID: 20160020020
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c) $y=5x$
$y=x+20$
a
$x=5$, $y=25$
Question ID: 20160020030
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d) $y=2x+6$
$y=4x$
a
$x=3$, $y=12$
Question ID: 20160020040
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e) $y=7x$
$y=3x+40$
a
$x=10$, $y=70$
Question ID: 20160020050
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f) $y=7x-6$
$y=6x$
a
$x=6$, $y=36$
Question ID: 20160020060
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g) $y=5x-2$
$y=3x$
a
$x=1$, $y=3$
Question ID: 20160020070
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h) $y=10x-16$
$y=6x$
a
$x=4$, $y=24$
Question ID: 20160020080
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Question 3
Solve the following simultaneous equations by substitution
a) $y=4x+4$
$y=3x+5$
a
$x=1$, $y=8$
Question ID: 20160030010
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b) $y=7x+2$
$y=6x+10$
a
$x=8$, $y=58$
Question ID: 20160030020
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c) $y=5x+3$
$y=6x+1$
a
$x=2$, $y=13$
Question ID: 20160030030
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d) $y=14x+12$
$y=15x+2$
a
$x=10$, $y=152$
Question ID: 20160030040
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e) $y=4x-4$
$y=3x+3$
a
$x=7$, $y=24$
Question ID: 20160030050
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f) $y=7x-1$
$y=6x+8$
a
$x=9$, $y=62$
Question ID: 20160030060
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g) $y=3x+10$
$y=4x-10$
a
$x=20$, $y=70$
Question ID: 20160030070
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h) $x=y+4$
$x=2y-4$
a
$x=12$, $y=8$
Question ID: 20160030080
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Question 4
Solve the following simultaneous equations by substitution
a) $y=x+2$
$y=2x+1$
a
$x=1$, $y=3$
Question ID: 20160040010
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b) $y=x+5$
$y=3x+1$
a
$x=2$, $y=7$
Question ID: 20160040020
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c) $y=x+10$
$y=2x+6$
a
$x=4$, $y=14$
Question ID: 20160040030
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d) $y=x+20$
$y=4x+2$
a
$x=6$, $y=26$
Question ID: 20160040040
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e) $y=3x+4$
$y=x+14$
a
$x=5$, $y=19$
Question ID: 20160040050
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f) $y=6x+10$
$y=x+60$
a
$x=10$, $y=70$
Question ID: 20160040060
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g) $y=8x+5$
$y=x+68$
a
$x=9$, $y=77$
Question ID: 20160040070
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h) $y=x+78$
$y=12x+1$
a
$x=7$, $y=85$
Question ID: 20160040080
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Question 5
Solve the following simultaneous equations by substitution
a) $y=4x+6$
$y=2x+8$
a
$x=1$, $y=10$
Question ID: 20160050010
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b) $y=11x+8$
$y=8x+20$
a
$x=4$, $y=52$
Question ID: 20160050020
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c) $y=11x+22$
$y=17x+10$
a
$x=2$, $y=44$
Question ID: 20160050030
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d) $y=6x+32$
$y=11x+2$
a
$x=6$, $y=68$
Question ID: 20160050040
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e) $y=10x-23$
$y=3x+5$
a
$x=4$, $y=17$
Question ID: 20160050050
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f) $y=2x+6$
$y=5x-9$
a
$x=5$, $y=16$
Question ID: 20160050060
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g) $y=5x-5$
$y=7x-21$
a
$x=8$, $y=35$
Question ID: 20160050070
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h) $x=5-3y$
$x=7y-5$
a
$x=2$, $y=1$
Question ID: 20160050080
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Question 6
Solve the following simultaneous equations by substitution
a) $y=2x+1$
$x=y-2$
a
$x=1$, $y=3$
Question ID: 20160060010
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b) $y=5x+3$
$x=y-11$
a
$x=2$, $y=13$
Question ID: 20160060020
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c) $x=y-6$
$y=3x-2$
a
$x=4$, $y=10$
Question ID: 20160060030
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d) $y=6x-10$
$x=y-20$
a
$x=6$, $y=26$
Question ID: 20160060040
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e) $x=2y-2$
$y=2x-1$
a
$x=3$, $y=5$
Question ID: 20160060050
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f) $y=2x+7$
$x=37-y$
a
$x=10$, $y=27$
Question ID: 20160060060
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g) $y=6x-10$
$x=13+3y$
a
$x=1$, $y=-4$
Question ID: 20160060070
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h) $a=11-2b$
$b=10-2a$
a
$a=3$, $b=4$
Question ID: 20160060080
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Question 7
Solve the following simultaneous equations by substitution
a) $2x+3y=13$
$2x=y+1$
a
$x=2$, $y=3$
Question ID: 20160070010
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b) $4x+5y=34$
$4x=10y+4$
a
$x=6$, $y=2$
Question ID: 20160070020
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c) $3x+y=13$
$y=4x-1$
a
$x=2$, $y=7$
Question ID: 20160070030
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d) $5x+4y=9$
$4y=x-1$
a
$x=5$, $y=1$
Question ID: 20160070040
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e) $3x+2y=46$
$3x=4y-2$
a
$x=10$, $y=8$
Question ID: 20160070050
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f) $6y-2x=46$
$6y=10x+14$
a
$x=4$, $y=9$
Question ID: 20160070060
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g) $2x-y=8$
$2x=y+8$
a
$x=3$, $y=-2$
Question ID: 20160070070
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h) $3y-2x=-1$
$2x=2y-2$
a
$x=-4$, $y=-3$
Question ID: 20160070080
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Question 8
Solve the following simultaneous equations by substitution
a) $4x+3y=18$
$2x=4y-2$
a
$x=3$, $y=2$
Question ID: 20160080010
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b) $6x+2y=42$
$2x=2y-2$
a
$x=5$, $y=6$
Question ID: 20160080020
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c) $10x+y=104$
$5x=10y+10$
a
$x=10$, $y=4$
Question ID: 20160080030
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d) $12x+4y=44$
$3x=2y-4$
a
$x=2$, $y=5$
Question ID: 20160080040
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e) $6x+y=46$
$4x=2y+4$
a
$x=6$, $y=10$
Question ID: 20160080050
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f) $10x+5y=5$
$6x=3y+9$
a
$x=1$, $y=-1$
Question ID: 20160080060
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g) $5x+2y=-5$
$3x=3y-24$
a
$x=-3$, $y=5$
Question ID: 20160080070
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h) $7x-5y=8$
$5x=10y+70$
a
$x=-6$, $y-10$
Question ID: 20160080080
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Question 9
Solve the following simultaneous equations by substitution
a) $2x+3x=24$
$2x-y=1$
a
$x=3$, $y=5$
Question ID: 20160090010
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b) $8x+3y=58$
$4y-3x=9$
a
$x=5$, $y=6$
Question ID: 20160090020
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c) $3x+7y=38$
$3x+2y=28$
a
$x=8$, $y=2$
Question ID: 20160090030
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d) $5x+6y=27$
$3x+6y=21$
a
$x=3$, $y=2$
Question ID: 20160090040
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e) $6x+5y=63$
$3x-2y=18$
a
$x=8$, $y=3$
Question ID: 20160090050
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f) $2x+10y=92$
$3x+5y=48$
a
$x=1$, $y=9$
Question ID: 20160090060
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g) $2x+9y=51$
$6x+2y=28$
a
$x=3$, $y=5$
Question ID: 20160090070
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h) $2x+5y=41$
$3x+7y=59$
a
$x=8$, $y=5$
Question ID: 20160090080
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Question 10
Solve the following simultaneous equations by substitution
a) $4x+9y=19$
$5x+10y=20$
a
$x=-2$, $y=3$
Question ID: 20160100010
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b) $2x-3y=4$
$4x-8y=12$
a
$x=-1$, $y=-2$
Question ID: 20160100020
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c) $3x-2y=31$
$5x+3y=20$
a
$x=7$, $y=-5$
Question ID: 20160100030
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d) $5y-2x=6$
$3x+2y=-28$
a
$x=-8$, $y=-2$
Question ID: 20160100040
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e) $x+y=0$
$4x-4y=40$
a
$x=5$, $y=-5$
Question ID: 20160100050
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f) $3x-5y=21$
$7x-9y=57$
a
$x=12$, $y=3$
Question ID: 20160100060
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g) $17y-10x=-180$
$4x+5x=-46$
a
$x=1$, $y=-10$
Question ID: 20160100070
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h) $7x+13y=-192$
$5y-11x=86$
a
$x=-7$, $y=-11$
Question ID: 20160100080
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Question 11
Solve the following simultaneous equations by substitution. Express your answers as top-heavy/improper fractions where necessary
a) $5x+4y=17$
$3x-2y=8$
a
$x=3$, $y=\frac12$
Question ID: 20160110010
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b) $6x+5y=32$
$18x-y=0$
a
$x=\frac13$, $y=6$
Question ID: 20160110020
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c) $8x+3y=4$
$8x-15y=-8$
a
$x=\frac14$, $y=\frac23$
Question ID: 20160110030
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d) $10x-y=7$
$5x-y=4$
a
$x=\frac35$, $y=-1$
Question ID: 20160110040
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e) $6x+2y=16$
$3x-y=7$
a
$x=\frac52$, $y=\frac12$
Question ID: 20160110050
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f) $4x-y=6$
$3x-3y=6$
a
$x=\frac43$, $y=-\frac23$
Question ID: 20160110060
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g) $3x+4y=\frac{99}{20}$
$4x+3y=\frac{41}{10}$
a
$x=\frac54$, $y=-\frac{3}{10}$
Question ID: 20160110070
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h) $5x-2y=-\frac{51}{7}$
$3x+5y=\frac{69}{14}$
a
$x=-\frac67$, $y=\frac32$
Question ID: 20160110080
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Question 1
Solve the following simultaneous equations by substitution
a) $x=2$
$y=3x$
b) $x=5$
$y=4x$
c) $x=11$
$y=10x$
d) $y=6$
$x=2y$
e) $y=7$
$x=5y$
f) $y=x+5$
$x=4$
g) $x=16$
$y=2x-1$
h) $x=4+2y$
$y=8$
Question 2
Solve the following simultaneous equations by substitution
a) $y=x+1$
$y=2x$
b) $y=x+4$
$y=2x$
c) $y=5x$
$y=x+20$
d) $y=2x+6$
$y=4x$
e) $y=7x$
$y=3x+40$
f) $y=7x-6$
$y=6x$
g) $y=5x-2$
$y=3x$
h) $y=10x-16$
$y=6x$
Question 3
Solve the following simultaneous equations by substitution
a) $y=4x+4$
$y=3x+5$
b) $y=7x+2$
$y=6x+10$
c) $y=5x+3$
$y=6x+1$
d) $y=14x+12$
$y=15x+2$
e) $y=4x-4$
$y=3x+3$
f) $y=7x-1$
$y=6x+8$
g) $y=3x+10$
$y=4x-10$
h) $x=y+4$
$x=2y-4$
Question 4
Solve the following simultaneous equations by substitution
a) $y=x+2$
$y=2x+1$
b) $y=x+5$
$y=3x+1$
c) $y=x+10$
$y=2x+6$
d) $y=x+20$
$y=4x+2$
e) $y=3x+4$
$y=x+14$
f) $y=6x+10$
$y=x+60$
g) $y=8x+5$
$y=x+68$
h) $y=x+78$
$y=12x+1$
Question 5
Solve the following simultaneous equations by substitution
a) $y=4x+6$
$y=2x+8$
b) $y=11x+8$
$y=8x+20$
c) $y=11x+22$
$y=17x+10$
d) $y=6x+32$
$y=11x+2$
e) $y=10x-23$
$y=3x+5$
f) $y=2x+6$
$y=5x-9$
g) $y=5x-5$
$y=7x-21$
h) $x=5-3y$
$x=7y-5$
Question 6
Solve the following simultaneous equations by substitution
a) $y=2x+1$
$x=y-2$
b) $y=5x+3$
$x=y-11$
c) $x=y-6$
$y=3x-2$
d) $y=6x-10$
$x=y-20$
e) $x=2y-2$
$y=2x-1$
f) $y=2x+7$
$x=37-y$
g) $y=6x-10$
$x=13+3y$
h) $a=11-2b$
$b=10-2a$
Question 7
Solve the following simultaneous equations by substitution
a) $2x+3y=13$
$2x=y+1$
b) $4x+5y=34$
$4x=10y+4$
c) $3x+y=13$
$y=4x-1$
d) $5x+4y=9$
$4y=x-1$
e) $3x+2y=46$
$3x=4y-2$
f) $6y-2x=46$
$6y=10x+14$
g) $2x-y=8$
$2x=y+8$
h) $3y-2x=-1$
$2x=2y-2$
Question 8
Solve the following simultaneous equations by substitution
a) $4x+3y=18$
$2x=4y-2$
b) $6x+2y=42$
$2x=2y-2$
c) $10x+y=104$
$5x=10y+10$
d) $12x+4y=44$
$3x=2y-4$
e) $6x+y=46$
$4x=2y+4$
f) $10x+5y=5$
$6x=3y+9$
g) $5x+2y=-5$
$3x=3y-24$
h) $7x-5y=8$
$5x=10y+70$
Question 9
Solve the following simultaneous equations by substitution
a) $2x+3x=24$
$2x-y=1$
b) $8x+3y=58$
$4y-3x=9$
c) $3x+7y=38$
$3x+2y=28$
d) $5x+6y=27$
$3x+6y=21$
e) $6x+5y=63$
$3x-2y=18$
f) $2x+10y=92$
$3x+5y=48$
g) $2x+9y=51$
$6x+2y=28$
h) $2x+5y=41$
$3x+7y=59$
Question 10
Solve the following simultaneous equations by substitution
a) $4x+9y=19$
$5x+10y=20$
b) $2x-3y=4$
$4x-8y=12$
c) $3x-2y=31$
$5x+3y=20$
d) $5y-2x=6$
$3x+2y=-28$
e) $x+y=0$
$4x-4y=40$
f) $3x-5y=21$
$7x-9y=57$
g) $17y-10x=-180$
$4x+5x=-46$
h) $7x+13y=-192$
$5y-11x=86$
Question 11
Solve the following simultaneous equations by substitution. Express your answers as top-heavy/improper fractions where necessary
a) $5x+4y=17$
$3x-2y=8$
b) $6x+5y=32$
$18x-y=0$
c) $8x+3y=4$
$8x-15y=-8$
d) $10x-y=7$
$5x-y=4$
e) $6x+2y=16$
$3x-y=7$
f) $4x-y=6$
$3x-3y=6$
g) $3x+4y=\frac{99}{20}$
$4x+3y=\frac{41}{10}$
h) $5x-2y=-\frac{51}{7}$
$3x+5y=\frac{69}{14}$
Answers
Question 1
a) $x=2$, $y=6$
b) $x=5$, $y=20$
c) $x=11$, $y=110$
d) $x=12$, $y=6$
e) $x=35$, $y=7$
f) $x=4$, $y=9$
g) $x=16$, $y=31$
h) $x=20$, $y=8$
Question 2
a) $x=1$, $y=2$
b) $x=4$, $y=8$
c) $x=5$, $y=25$
d) $x=3$, $y=12$
e) $x=10$, $y=70$
f) $x=6$, $y=36$
g) $x=1$, $y=3$
h) $x=4$, $y=24$
Question 3
a) $x=1$, $y=8$
b) $x=8$, $y=58$
c) $x=2$, $y=13$
d) $x=10$, $y=152$
e) $x=7$, $y=24$
f) $x=9$, $y=62$
g) $x=20$, $y=70$
h) $x=12$, $y=8$
Question 4
a) $x=1$, $y=3$
b) $x=2$, $y=7$
c) $x=4$, $y=14$
d) $x=6$, $y=26$
e) $x=5$, $y=19$
f) $x=10$, $y=70$
g) $x=9$, $y=77$
h) $x=7$, $y=85$
Question 5
a) $x=1$, $y=10$
b) $x=4$, $y=52$
c) $x=2$, $y=44$
d) $x=6$, $y=68$
e) $x=4$, $y=17$
f) $x=5$, $y=16$
g) $x=8$, $y=35$
h) $x=2$, $y=1$
Question 6
a) $x=1$, $y=3$
b) $x=2$, $y=13$
c) $x=4$, $y=10$
d) $x=6$, $y=26$
e) $x=3$, $y=5$
f) $x=10$, $y=27$
g) $x=1$, $y=-4$
h) $a=3$, $b=4$
Question 7
a) $x=2$, $y=3$
b) $x=6$, $y=2$
c) $x=2$, $y=7$
d) $x=5$, $y=1$
e) $x=10$, $y=8$
f) $x=4$, $y=9$
g) $x=3$, $y=-2$
h) $x=-4$, $y=-3$
Question 8
a) $x=3$, $y=2$
b) $x=5$, $y=6$
c) $x=10$, $y=4$
d) $x=2$, $y=5$
e) $x=6$, $y=10$
f) $x=1$, $y=-1$
g) $x=-3$, $y=5$
h) $x=-6$, $y-10$
Question 9
a) $x=3$, $y=5$
b) $x=5$, $y=6$
c) $x=8$, $y=2$
d) $x=3$, $y=2$
e) $x=8$, $y=3$
f) $x=1$, $y=9$
g) $x=3$, $y=5$
h) $x=8$, $y=5$
Question 10
a) $x=-2$, $y=3$
b) $x=-1$, $y=-2$
c) $x=7$, $y=-5$
d) $x=-8$, $y=-2$
e) $x=5$, $y=-5$
f) $x=12$, $y=3$
g) $x=1$, $y=-10$
h) $x=-7$, $y=-11$
Question 11
a) $x=3$, $y=\frac12$
b) $x=\frac13$, $y=6$
c) $x=\frac14$, $y=\frac23$
d) $x=\frac35$, $y=-1$
e) $x=\frac52$, $y=\frac12$
f) $x=\frac43$, $y=-\frac23$
g) $x=\frac54$, $y=-\frac{3}{10}$
h) $x=-\frac67$, $y=\frac32$
Question 1
Solve the following simultaneous equations by substitution
a) $x=2$
$y=3x$
b) $x=5$
$y=4x$
c) $x=11$
$y=10x$
d) $y=6$
$x=2y$
e) $y=7$
$x=5y$
f) $y=x+5$
$x=4$
g) $x=16$
$y=2x-1$
h) $x=4+2y$
$y=8$
Question 2
Solve the following simultaneous equations by substitution
a) $y=x+1$
$y=2x$
b) $y=x+4$
$y=2x$
c) $y=5x$
$y=x+20$
d) $y=2x+6$
$y=4x$
e) $y=7x$
$y=3x+40$
f) $y=7x-6$
$y=6x$
g) $y=5x-2$
$y=3x$
h) $y=10x-16$
$y=6x$
Question 3
Solve the following simultaneous equations by substitution
a) $y=4x+4$
$y=3x+5$
b) $y=7x+2$
$y=6x+10$
c) $y=5x+3$
$y=6x+1$
d) $y=14x+12$
$y=15x+2$
e) $y=4x-4$
$y=3x+3$
f) $y=7x-1$
$y=6x+8$
g) $y=3x+10$
$y=4x-10$
h) $x=y+4$
$x=2y-4$
Question 4
Solve the following simultaneous equations by substitution
a) $y=x+2$
$y=2x+1$
b) $y=x+5$
$y=3x+1$
c) $y=x+10$
$y=2x+6$
d) $y=x+20$
$y=4x+2$
e) $y=3x+4$
$y=x+14$
f) $y=6x+10$
$y=x+60$
g) $y=8x+5$
$y=x+68$
h) $y=x+78$
$y=12x+1$
Question 5
Solve the following simultaneous equations by substitution
a) $y=4x+6$
$y=2x+8$
b) $y=11x+8$
$y=8x+20$
c) $y=11x+22$
$y=17x+10$
d) $y=6x+32$
$y=11x+2$
e) $y=10x-23$
$y=3x+5$
f) $y=2x+6$
$y=5x-9$
g) $y=5x-5$
$y=7x-21$
h) $x=5-3y$
$x=7y-5$
Question 6
Solve the following simultaneous equations by substitution
a) $y=2x+1$
$x=y-2$
b) $y=5x+3$
$x=y-11$
c) $x=y-6$
$y=3x-2$
d) $y=6x-10$
$x=y-20$
e) $x=2y-2$
$y=2x-1$
f) $y=2x+7$
$x=37-y$
g) $y=6x-10$
$x=13+3y$
h) $a=11-2b$
$b=10-2a$
Question 7
Solve the following simultaneous equations by substitution
a) $2x+3y=13$
$2x=y+1$
b) $4x+5y=34$
$4x=10y+4$
c) $3x+y=13$
$y=4x-1$
d) $5x+4y=9$
$4y=x-1$
e) $3x+2y=46$
$3x=4y-2$
f) $6y-2x=46$
$6y=10x+14$
g) $2x-y=8$
$2x=y+8$
h) $3y-2x=-1$
$2x=2y-2$
Question 8
Solve the following simultaneous equations by substitution
a) $4x+3y=18$
$2x=4y-2$
b) $6x+2y=42$
$2x=2y-2$
c) $10x+y=104$
$5x=10y+10$
d) $12x+4y=44$
$3x=2y-4$
e) $6x+y=46$
$4x=2y+4$
f) $10x+5y=5$
$6x=3y+9$
g) $5x+2y=-5$
$3x=3y-24$
h) $7x-5y=8$
$5x=10y+70$
Question 9
Solve the following simultaneous equations by substitution
a) $2x+3x=24$
$2x-y=1$
b) $8x+3y=58$
$4y-3x=9$
c) $3x+7y=38$
$3x+2y=28$
d) $5x+6y=27$
$3x+6y=21$
e) $6x+5y=63$
$3x-2y=18$
f) $2x+10y=92$
$3x+5y=48$
g) $2x+9y=51$
$6x+2y=28$
h) $2x+5y=41$
$3x+7y=59$
Question 10
Solve the following simultaneous equations by substitution
a) $4x+9y=19$
$5x+10y=20$
b) $2x-3y=4$
$4x-8y=12$
c) $3x-2y=31$
$5x+3y=20$
d) $5y-2x=6$
$3x+2y=-28$
e) $x+y=0$
$4x-4y=40$
f) $3x-5y=21$
$7x-9y=57$
g) $17y-10x=-180$
$4x+5x=-46$
h) $7x+13y=-192$
$5y-11x=86$
Question 11
Solve the following simultaneous equations by substitution. Express your answers as top-heavy/improper fractions where necessary
a) $5x+4y=17$
$3x-2y=8$
b) $6x+5y=32$
$18x-y=0$
c) $8x+3y=4$
$8x-15y=-8$
d) $10x-y=7$
$5x-y=4$
e) $6x+2y=16$
$3x-y=7$
f) $4x-y=6$
$3x-3y=6$
g) $3x+4y=\frac{99}{20}$
$4x+3y=\frac{41}{10}$
h) $5x-2y=-\frac{51}{7}$
$3x+5y=\frac{69}{14}$
Answers
Question 1
a) $x=2$, $y=6$
b) $x=5$, $y=20$
c) $x=11$, $y=110$
d) $x=12$, $y=6$
e) $x=35$, $y=7$
f) $x=4$, $y=9$
g) $x=16$, $y=31$
h) $x=20$, $y=8$
Question 2
a) $x=1$, $y=2$
b) $x=4$, $y=8$
c) $x=5$, $y=25$
d) $x=3$, $y=12$
e) $x=10$, $y=70$
f) $x=6$, $y=36$
g) $x=1$, $y=3$
h) $x=4$, $y=24$
Question 3
a) $x=1$, $y=8$
b) $x=8$, $y=58$
c) $x=2$, $y=13$
d) $x=10$, $y=152$
e) $x=7$, $y=24$
f) $x=9$, $y=62$
g) $x=20$, $y=70$
h) $x=12$, $y=8$
Question 4
a) $x=1$, $y=3$
b) $x=2$, $y=7$
c) $x=4$, $y=14$
d) $x=6$, $y=26$
e) $x=5$, $y=19$
f) $x=10$, $y=70$
g) $x=9$, $y=77$
h) $x=7$, $y=85$
Question 5
a) $x=1$, $y=10$
b) $x=4$, $y=52$
c) $x=2$, $y=44$
d) $x=6$, $y=68$
e) $x=4$, $y=17$
f) $x=5$, $y=16$
g) $x=8$, $y=35$
h) $x=2$, $y=1$
Question 6
a) $x=1$, $y=3$
b) $x=2$, $y=13$
c) $x=4$, $y=10$
d) $x=6$, $y=26$
e) $x=3$, $y=5$
f) $x=10$, $y=27$
g) $x=1$, $y=-4$
h) $a=3$, $b=4$
Question 7
a) $x=2$, $y=3$
b) $x=6$, $y=2$
c) $x=2$, $y=7$
d) $x=5$, $y=1$
e) $x=10$, $y=8$
f) $x=4$, $y=9$
g) $x=3$, $y=-2$
h) $x=-4$, $y=-3$
Question 8
a) $x=3$, $y=2$
b) $x=5$, $y=6$
c) $x=10$, $y=4$
d) $x=2$, $y=5$
e) $x=6$, $y=10$
f) $x=1$, $y=-1$
g) $x=-3$, $y=5$
h) $x=-6$, $y-10$
Question 9
a) $x=3$, $y=5$
b) $x=5$, $y=6$
c) $x=8$, $y=2$
d) $x=3$, $y=2$
e) $x=8$, $y=3$
f) $x=1$, $y=9$
g) $x=3$, $y=5$
h) $x=8$, $y=5$
Question 10
a) $x=-2$, $y=3$
b) $x=-1$, $y=-2$
c) $x=7$, $y=-5$
d) $x=-8$, $y=-2$
e) $x=5$, $y=-5$
f) $x=12$, $y=3$
g) $x=1$, $y=-10$
h) $x=-7$, $y=-11$
Question 11
a) $x=3$, $y=\frac12$
b) $x=\frac13$, $y=6$
c) $x=\frac14$, $y=\frac23$
d) $x=\frac35$, $y=-1$
e) $x=\frac52$, $y=\frac12$
f) $x=\frac43$, $y=-\frac23$
g) $x=\frac54$, $y=-\frac{3}{10}$
h) $x=-\frac67$, $y=\frac32$
Solutions
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Question 2
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Question 8
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Question 9
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Question 10
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Question 11
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