SOLUTION: x^2 + y^2 = 10 2x^2 - y^2 17

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Question 188832: x^2 + y^2 = 10
2x^2 - y^2 17
Answer by jonvaliente(64) About Me  (Show Source):
You can put this solution on YOUR website!
Add the two equations to eliminate y%5E2:
x%5E2%2By%5E2=10
+2x%5E2-y%5E2=17
--------------------
3x%5E2=27
Divide both sides by 3:
x%5E2=9
Take the square root of both sides
x=+/-3
Take the first equation and substitute the value of x:
%28%2B-3%29%5E2%2By%5E2=10
9%2By%5E2=10
Subtract 9 from both sides
9-9%2By%5E2=10-9
y%5E2=1
Take the square root of both sides:
y=+/-1
Answer: x=+/-3 and y=+/-1