Question

x + 10 \\ y = x + 2" alt="y = - x + 10 \\ y = x + 2" align="absmiddle" class="latex-formula">

Answer 1

The two ys must be the same. Equate the two right hand sides.

-x + 10 = x + 2 add x to both sides.
10 = x + x + 2
10 = 2x + 2 Subtract 2 from both sides.
8 = 2x Divide by 2
x = 8/2
x = 4

Now solve for y
y = x + 2
y = 4 + 2
y = 6

Use the other equation to check it.

y = - x + 10
y = -4 + 10
y = 6