Question

Use the substitution method to find the solution(s) to the system of equations. Show all work for full credit.
y = –x^2
y = x

Answer 1

y = -x^2
y = x
Substituting y =x in first equation
x = -x^2
=> x^2 + x = 0
=> x(x+1) = 0
=> x = 0 or x+1 = 0
=> x = 0 or -1

=> y = x i.e. y = 0 or -1

So the solutions are (x,y) = (0,0) or (-1,-1)

Answer 2

i think the solutions are (0, -1) though im so confused