Solve the system using elimination.
2x + 6y = -12
5x - 5y = 10

Solving the system of equations using elimination involves eliminating one variable by adding or subtracting the equations. Elimination method is as follows:

5(2x + 6y = -12)
2(5x - 5y = 10)

10x + 30y = -60
10x - 10y = 20

We subtract the equations eliminating the 10x term.
40y = -80
y = -2
x = (10 + (-2)5) / 5
x = 0