1) Rewrite the second equation in terms of x: x = 2y + 11
2) Substitute the value of x from step 1 into the first equation: -7(2y + 11) - 2y = -13
3) Simplify the equation: -14y - 77 - 2y = -13
4) Combine like terms: -16y - 77 = -13
5) Simplify further: -16y = 64
6) Solve for y: y = -4
7) Substitute the value of y from step 6 into the equation in step 1 to solve for x: x - 2(-4) = 11
8) Simplify the equation: x + 8 = 11
9) Solve for x: x = 3
10) The solution to the system of equations is (3, -4)