SOLUTION: in need of help, solve the system: {x^2-100y^2=100 {x^2+ y^2=100. thanks for your help!!!

Algebra ->  Systems-of-equations -> SOLUTION: in need of help, solve the system: {x^2-100y^2=100 {x^2+ y^2=100. thanks for your help!!!      Log On


   

Question 113584: in need of help, solve the system:
{x^2-100y^2=100
{x^2+ y^2=100.
thanks for your help!!!
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
{x^2-100y^2=100
{x^2+ y^2=100.
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Subtract the 1st equation from the 2nd to get:
101y^2 = 0
y^2 = 0
y = 0
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Substitute into x^2 + y^2 = 100 to solve for "x":
x^2 + 02 = 100
x = +10 or x= -10
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Solution: (10,0) and (-10,0)
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Cheers,
Stan H.