What is the solution for the system of equations

Question

Write your answer in the form (x,y)

2y=4x-12

y=-2x+2

Answer 1

2y=4x-12

y=-2x+2

 

2(-2x+2)=4x-12

-4x+4=4x-12

8x=16

x=2

 

y=(-2)(2)+2

y=-2

 

(2,-2)

Answer 2

After dividing the top equation by 2, you get:

y=2x-6 and

y=-2x+2

 

Since these intersect at a point, these y's are equal, so we can set the equations equal to each other, then solve for x.

2x-6 = -2x+2

4x=8

x=2

 

Then plug x=2 back into an equation to solve for y.

y=-2x+2 = -2*2+2 = -4+2 = -2

y=-2

 

(2,-2)