Solve y=-2x-2 and 2x-2y=5

To solve this system of linear equations, we can first solve one of the equations for one variable and then substitute that expression into the other equation.

Given equations:
1. y = -2x - 2
2. 2x - 2y = 5

From equation 1, we have:
y = -2x - 2

Now we can substitute -2x - 2 for y in equation 2:
2x - 2(-2x - 2) = 5
2x + 4x + 4 = 5
6x + 4 = 5
6x = 1
x = 1/6

Now that we have found the value of x, we can substitute it back into the first equation to find the value of y:
y = -2(1/6) - 2
y = -2/6 - 2
y = -1/3 - 2
y = -7/3

Therefore, the solution to the system of equations is:
x = 1/6
y = -7/3