SOLUTION: Hi, can someone please help me solve the following... x^2 + y^2 = 14, x^2 - y^2 = 4

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Question 446392: Hi, can someone please help me solve the following...
x^2 + y^2 = 14,
x^2 - y^2 = 4

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
x^2 + y^2 = 14,
x^2 - y^2 = 4
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Add and solve for "x^2":
2x^2 = 18
x^2 = 9
x = +3 or x = -3
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If x = +3 or -3 solve for "y":
y^2 = 14-9
y^2 = 5
y = sqrt(5) or y = -sqrt(9)
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Ans: (3,sqrt(5))or (-3,sqrt(5)) or (3,-sqrt(5)) or (-3,-sqrt(5))
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Cheers,
Stan H.
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