-2x+2y=-14

Question

2x+6y=20

Answer 1

To solve this system of equations, we can use the method of elimination.

First, let's multiply the first equation by 2 to make the coefficients of x the same but opposite signs:

-4x + 4y = -28

Now, we can add the two equations together to eliminate the x variable:

(2x + 6y) + (-4x + 4y) = 20 - 28
2y = -8
y = -4

Now, we can substitute the value of y back into one of the original equations to solve for x:

-2x + 2(-4) = -14
-2x - 8 = -14
-2x = -6
x = 3

Therefore, the solution to the system of equations is x = 3 and y = -4.