Solve the system of equations: 4y = 11 - 6x, y = 2x - 6

Substitute the second equation into the first: 4(2x - 6) = 11 - 6x.

Simplify and solve for x: 8x - 24 = 11 - 6x => 14x = 35 => x = 35/14 = 5/2.

Substitute x back into the second equation to find y: y = 2(5/2) - 6 = 5 - 6 = -1.

The solution is x = 5/2, y = -1.