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

\[
y=-x^2\\
y=x\\
\to\\
x=-x^2
\]

Answer 2

\[
x^2+x=0\\
x(x+1)=0\\
x=0,x=-1
\]

Answer 3

Thus the two solutions are\[
(0,0),(-1,-1)
\]

Answer 4

Prodigious!