Solve the system of equations: { 4x = -7y - 16, x = -2y - 5 }

Substitute the second equation into the first:
4(-2y - 5) = -7y - 16
Simplify and solve for y:
-8y - 20 = -7y - 16
-y = 4
y = -4
Substitute y = -4 into the second equation to find x:
x = -2(-4) - 5
x = 8 - 5
x = 3
The solution is x = 3, y = -4.