x + y = 10 x-y=22

Question

I need help solving this algebra problem: x+y=10 x-y=22

Answer 1

x + y = 10 x-y=22
I need help solving this algebra problem: x+y=10 x-y=22

Because there is a positive y in the left equation and a
negative y in the right equation, you can eliminate the y
by adding the two equations.
   x + y = 10
+(x - y = 22)
----------------
2x        = 32
x = 16

Substitute that value into the left equation.

x + y = 10
16 + y = 10
y = -6

Verify by using the right equation.

x - y = 22
16 - (-6) = 22
16 + 6 = 22
22 = 22

x = 10 and y = -6