SOLUTION: solve for the following system of equation y=x^2-6 y=x-4

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Question 1133618: solve for the following system of equation
y=x^2-6
y=x-4
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
y=x%5E2-6....eq.1
y=x-4....eq.2
-----------------------
left sides are equal, so
x%5E2-6=x-4..........solve for x
x%5E2-6-x%2B4=0
x%5E2-x-2=0...factor
x%5E2-2x%2Bx-2=0
%28x%5E2-2x%29%2B%28x-2%29=0
x%28x-2%29%2B%28x-2%29=0
%28x%2B1%29%28x-2%29=0
=>x=-1 or x=2

go to y=x-4....eq.2, plug in values for x

y=-1-4=>y=-5
y=2-4=>y=-2
solutions:
(-1,-5)
and
(2,-2)