SOLUTION: Solve the following system. find all solutions x2 - y = 3 x - y = -3

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Question 868618: Solve the following system.
find all solutions
x2 - y = 3
x - y = -3
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2+-+y+=+3
x+-+y+=+-3
From eq. 2,
y=x%2B3
Substitute into eq. 1,
x%5E2-%28x%2B3%29=3
x%5E2-x-3=3
x%5E2-x-6=0
%28x-3%29%28x%2B2%29=0
Two solutions:
x-3=0
x=3
then
y=3%2B3=6
and
x%2B2=0
x=-2
then
y=-2%2B3
y=1
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