A quick answer would be lovely!

What is the solution to the system of equations below:

y = - x + 6

y = 3x + 2

I don't know ...

solution is (x, y) → (1, 5)

Since both equations express y in terms of x we can equate the right sides

3x + 2 = - x + 6 (add x to both sides)

4x + 2 = 6 (subtract 2 from both sides)

4x = 4 (divide both sides by 4)

x = 1

Substitute x = 1 into either of the 2 equations for y

y = - 1 + 6 = 5

solution (x, y) → (1, 5)