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