Question

Use the substitution method to find the solution(s) to the system of equations. Show all work for full credit.
y = x^2 – 1
y = –x – 1

Answer 1

y = x^2 – 1
y = –x – 1

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

y = 0^2 – 1
y = -1

y = -1^2 – 1
y = 0

Answer 2

y = x^2 – 1
y = –x – 1
-------------------------
x^2 – 1 = –x – 1

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

x(x+1)=0

x=0

x+1=0

x=-1

x=0,-1
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y = –x – 1
y=-1, y=0