y = 4x - 2
3x + 2y = -4
Substituting the value for y from the top equation into the bottom equation:
3x + 2(4x - 2) = -4
Solving:
Distributing the 2: 3x + 8x - 4 = -4
Adding the x-terms together: 11x - 4 = -4
Adding 4 to both sides: 11x = 0
Dividing by 11: x = 0
Substituting 0 for x into the first equation:
y = 4(0) - 2
y = -2
The solution to the set of equations is: x = 0, y = -2.