Question

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

Answer 1

x=-6, y=-1

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

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-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