Answer
(-1, 4)
Work Step by Step
Substitute the equation for y in terms of x into the second equation:
3x - 2(2x + 6) = -11
Solve for x:
3x - 4x - 12 = -11
-x - 12 = -11
-x = 1
x = -1
Let x = -1 in the first equation to solve for y:
y = 2(-1) + 6 = 4
Check the solution (-1, 4) in the second equation:
3(-1) - 2(4) = -11
-3 - 8 = -11
-11 = -11; True