Solve for the system equation

-7x-2y=-13
x-2y=11

1 answer

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

First, we can solve the second equation for x in terms of y:
x - 2y = 11
x = 2y + 11

Now, substitute this expression for x in the first equation:
-7(2y + 11) - 2y = -13
-14y - 77 - 2y = -13
-16y - 77 = -13
-16y = 64
y = -4

Now, substitute this value of y in the first equation to solve for x:
-7x - 2(-4) = -13
-7x + 8 = -13
-7x = -21
x = 3

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