Solve the system of equations: y = -2x - 1, 6y = 5 - x.

Substitute the first equation into the second:

6(-2x - 1) = 5 - x

-12x - 6 = 5 - x

-11x = 11

x = -1

Substitute x = -1 into the first equation:

y = -2(-1) - 1

y = 2 - 1

y = 1

The solution is x = -1, y = 1.