Solve the system of linear equations. −x+2y=4 and −2x−2y=14

x=-6, y=-1

Step-by-step explanation:

−x+2y=4 and −2x−2y=14

I will solve by elimination.  We can eliminate the y variable by adding these together.

 −x+2y=4

−2x−2y=14

-3x      = 18

Divide each side by -3

-3x/-3 = 18/-3

x = -6

But we still need to solve for y

-x + 2y =y

Substitute x in

- -6 +2y =4

6 +2y = 4

Subtract 6 from each side

6-6 + 2y = 4-6

2y = -2

2y/2 = -2/2

y= -1

step-by-step explanation: