Which of the following is a solution for this nonlinear system of equations

Question

-x²+8=y

y-6=x

 

Answer 1

-x² + 8 = y

y - 6 = x, so y = x + 6

 

Substitute x+6 for y in the first equation:

 

-x² + 8 = x + 6

 

x² + x - 2 = 0         [Combined like terms then multiplied both sides by -1]

 

Factors to:

 

(x+2)(x-1) = 0

 

x = -2 and 1

 

The corresponding points are (-2,4) and (1,7).