Finding real soutions

Question

determine the real solutions to the system of nonlineat equations

x+y=1

y=x²-5

Answer 1

x + y = 1 or y = -x + 1

y = x² - 5

 

x² - 5 = -x + 1

x² + x - 6 = 0

 

Factors to:

 

(x+3)(x-2) = 0

 

x = -3 and 2