SOLUTION: solve the system graphically x^2+y^2 =25 y-x =-1

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Question 330297: solve the system graphically
x^2+y^2 =25
y-x =-1

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.x%5E2%2By%5E2+=25
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2.y-x+=-1
y=x-1
y%5E2=%28x-1%29%5E2
Substitute into eq. 1,
x%5E2%2B%28x-1%29%5E2=25
x%5E2%2Bx%5E2-2x%2B1=25
2x%5E2-2x-24=0
x%5E2-x-12=0
%28x-4%29%28x%2B3%29=0
Two solutions:
x-4=0
x=4
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x%2B3=0
x=-3
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For each x solve for y.
y=x-1
x=4, y=3(4,3)
x=-3,y=-4(-3,-4)
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