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
Solution: x = -1, y = 1