Question

X + y - 6 = 0 x - y - 8 = 0 When you eliminate y , what is the resulting equation?

Answer 1

You get 2x-14=0

x+y-6=0
x-y-8=0
--------------   Then add the rest up
2x-14=0

Answer 2

When we eliminate y,(by adding here), resulting equation would be:

2x - 14 =0

So, x = 7

You can find the value of y as well, by substituting the value of x, 
7 - y -8 = 0
y = -1

Hope this helps!