solve the system of equations for x and y

Question

{ x^2 - 11x -y =-24
x^2 - 11x + y = -24

Answer 1

add the two equations and y drops out:

2x^2-22x = -48

x^2-11x+24 = 0
(x-3)(x-8) = 0

Now just find the y for each x.

Answer 2

if you add both the equations you will get an equation 2(x^2-11x=-24)
solving this equation
x=8 or 3
on solving this equation with values of x we get y=0