1. Solve one of the equations for one variable (in this case, solve the second equation for x): x = 2y + 11.
2. Substitute the expression of one variable into the other equation (substitute x in the first equation with 2y + 11): -7(2y + 11) - 2y = -13.
3. Simplify and solve the resulting equation for the remaining variable (in this case, solve for y): -14y - 77 - 2y = -13.
4. Solve for y: -16y - 77 = -13.
5. Solve for y: -16y = 64.
6. Solve for y: y = -4.
7. Substitute the value of y back into one of the original equations (use the second equation): x - 2(-4) = 11.
8. Simplify and solve for x: x + 8 = 11.
9. Solve for x: x = 3.
10. The solution to the system of equations is x = 3 and y = -4.
Put the steps in order that are used to solve the following system of equations by substitution.
-7x-2y=-13 x-2y=11
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