Question

Use elimination method to solve the silmutaneous equations

2x +3y=1
3x=2y+8
(4marks)

Answer 1

2x +3y=1⇒equation 1

3x=2y+8

3x-2y=8⇒equation 2

by elimination method,

2x+3y=1 ×2

3x-2y=8 ×3

4x+6y=2

9x-6y=24

cut 6y and -6y

4x+6y=2

9x-6y=24

---------------

13x+0=26

13x=26

x=26/13

x=2

substitute x=2 in equation 1

2(2)+3y=1

4+3y=1

3y=1-4

3y=-3

y=-3/3

y=-1

therefore, x=2 and y=-1

hope it helps u!