# Algebra - Simultaneous Equations - Solving by Elimination

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## Question 1

Solve the following simulatenous equations by elimination

a) $x+y=5$
$x=2$a s v d
b) $x+y=18$
$x=13$a s v d
c) $x+y=7$
$y=4$a s v d
d) $x+y=14$
$y=6$a s v d
e) $x+2y=6$
$x=2$a s v d
f) $x+5y=9$
$x=4$a s v d
g) $2x+y=17$
$y=3$a s v d
h) $8x+y=30$
$y=6$a s v d

## Question 2

Solve the following simulatenous equations by elimination

a) $2x+3y=8$
$2x=2$a s v d
b) $3x+5y=27$
$3x=12$a s v d
c) $7x+4y=27$
$4y=20$a s v d
d) $2x+5y=30$
$5y=10$a s v d
e) $2x+3y=33$
$x=3$a s v d
f) $3x+9y=24$
$x=5$a s v d
g) $8x+5y=26$
$y=2$a s v d
h) $5x+7y=67$
$y=6$a s v d

## Question 3

Solve the following simulatenous equations by elimination

a) $x-y=7$
$y=2$a s v d
b) $x-y=15$
$y=5$a s v d
c) $y-x=100$
$x=16$a s v d
d) $x-2y=5$
$2y=8$a s v d
e) $10x-6y=2$
$6y=18$a s v d
f) $3x-2y=22$
$y=1$a s v d
g) $9x-5y=12$
$y=3$a s v d
h) $7x-8y=6$
$y=8$a s v d

## Question 4

Solve the following simulatenous equations by elimination

a) $x+y=7$
$x-y=1$a s v d
b) $x+y=9$
$x-y=5$a s v d
c) $2x+y=13$
$x-y=2$a s v d
d) $3x+y=31$
$x-y=9$a s v d
e) $2x+y=12$
$2x-y=8$a s v d
f) $2x+y=13$
$3x-y=7$a s v d
g) $6x+2y=30$
$5x-2y=3$a s v d
h) $x+5y=44$
$8x-5y=37$a s v d

## Question 5

Solve the following simulatenous equations by elimination

a) $2x+y=13$
$x+y=8$a s v d
b) $3x+y=15$
$2x+y=12$a s v d
c) $7x+y=15$
$6x+y=13$a s v d
d) $3x+y=10$
$x+y=8$a s v d
e) $7x+y=65$
$4x+y=38$a s v d
f) $x+5y=29$
$x+2y=14$a s v d
g) $x+10y=46$
$x+3y=18$a s v d
h) $3x+6y=69$
$3x+y=29$a s v d

## Question 6

Solve the following simulatenous equations by elimination

a) $3x-y=12$
$5x+y=28$a s v d
b) $x+5y=17$
$x+y=9$a s v d
c) $x+6y=16$
$x-2y=8$a s v d
d) $3x-y=2$
$4x-y=4$a s v d
e) $3x-3y=27$
$x-3y=3$a s v d
f) $4x-3y=21$
$4x+8y=76$a s v d
g) $x+2y=5$
$5x-2y=-11$a s v d
h) $6x+3y=-9$
$-6x-5y=17$a s v d

## Question 7

Solve the following simulatenous equations by elimination

a) $2x+3y=19$
$x+y=7$a s v d
b) $x+3y=6$
$5x+y=16$a s v d
c) $2x+2y=26$
$5x+y=33$a s v d
d) $3x+5y=14$
$x+7y=10$a s v d
e) $4x+3y=23$
$2x+5y=29$a s v d
f) $3x+6y=15$
$4x+2y=14$a s v d
g) $10x+2y=78$
$5x+7y=93$a s v d
h) $8x+4y=52$
$9x+12y=96$a s v d

## Question 8

Solve the following simulatenous equations by elimination

a) $3x-y=5$
$4x+2y=10$a s v d
b) $4x-y=17$
$5x+3y=34$a s v d
c) $x+5y=37$
$-2x+2y=10$a s v d
d) $x+8y=81$
$-5x+9y=85$a s v d
e) $3x-2y=18$
$5x+4y=52$a s v d
f) $3x-3y=24$
$2x+9y=38$a s v d
g) $-2x-3y=-37$
$6x+8y=102$a s v d
h) $20x-5y=35$
$-4x+7y=23$a s v d

## Question 9

Solve the following simulatenous equations by elimination

a) $2x+3y=8$
$3x+7y=17$a s v d
b) $5x+2y=31$
$4x+3y=29$a s v d
c) $8x-4y=4$
$10x+5y=75$a s v d
d) $-2x-3y=-12$
$3x+7y=23$a s v d
e) $4x+5y=39$
$3x+3y=27$a s v d
f) $4x-3y=29$
$3x+4y=53$a s v d
g) $5x+7y=78$
$3x+2y=27$a s v d
h) $10x+9y=162$
$6x-5y=14$a s v d

## Question 10

Solve the following simulatenous equations by elimination. Answers may be negative numbers

a) $3x+4y=5$
$2x+5y=8$a s v d
b) $5x+3y=9$
$2x-4y=14$a s v d
c) $7x-2y=-8$
$3x-5y=9$a s v d
d) $2x-3y=21$
$5x-2y=25$a s v d
e) $-2x-5y=32$
$3x-4y=-2$a s v d
f) $-3x+8y=30$
$7x-3y=-70$a s v d
g) $5x+2y=12$
$8x+9y=-4$a s v d
h) $11x+2y=-123$
$2x-11y=114$a s v d

## 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 s v d
b) $3x-3y=14$
$2x+12y=14$a s v d
c) $6x-4y=3$
$15x-16y=6$a s v d
d) $5x+2y=6$
$8x-3y=\frac{3}{10}$a s v d
e) $2x-3y=-4$
$5x-2y=-5\frac{5}{12}6$a s v d
f) $16x+40y=-2$
$2x-15y=-\frac54$a s v d
g) $3x-4y=\frac{29}{5}$
$16x+9y=-44\frac{9}{10}$a s v d
h) $\frac12x+3y=-1\frac{182}{187}$
$\frac25x-2\frac34y=-\frac{239}{3740}$a s v d