Answer:
(-2, 6)
Explanation:
Plug in one of the equations into the y-variable (doesn't matter which):
2x + 10 = -4x - 2
Combine like terms by adding the 4x to both sides. This makes it cancel out on the right side, and 2x + 4x on the right side is 6x:
6x + 10 = -2
Combine like terms by subtracting 10 from both sides, making it cancel out on the left side, and on the right: -2 - 10:
6x = -12
Then isolate the x-variable by dividing both sides by 6:
x = -2
Taking the -2, plug it into an x-variable in either of the equations:
y = 2x +10
y = 2(-2) + 10
y = -4 + 10
y = 6