Question

Solve the following equation systems using the elimintation mathod

2y - x = 8
-3x + 2y = -12

Answer 1

These are the steps following up to the final answer

Answer 2

original equation

`2y-x=8\\-3x+2y=-12\\`

line up your terms

`2y-x=8\\\\2y-3x=-12`

since they are both positive, subtract

`2x=20`

solve for x

`x=10`

substitute into one of the equations and solve for y

`2y-(10)=8\\\\2y=18\\\\y=9`

verify

`2(9)-(10)=8\\\\18-10=9\\\\8=8\\\\LS=RS`

`-3(10)+2(9)=-12\\\\-30+18=-12\\\\-12=-12\\\\LS=RS`