SOLUTION: Solve the non-linear system of equations. Give Exact Values: {{{x^2+y^2=25}}} {{{3x^2+2y^2=59}}}

Algebra ->  Linear-equations -> SOLUTION: Solve the non-linear system of equations. Give Exact Values: {{{x^2+y^2=25}}} {{{3x^2+2y^2=59}}}      Log On


   

Question 170041: Solve the non-linear system of equations. Give Exact Values:
x%5E2%2By%5E2=25
3x%5E2%2B2y%5E2=59
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2%2By%5E2=25
3x%5E2%2B2y%5E2=59
:
Multiply the 1st equation by 2 and subtract from the 2nd equation:
3x%5E2%2B2y%5E2=59
2x%5E2%2B2y%5E2=50
--------------------subtraction eliminates y^2
x^2 = 9
x = sqrt%289%29
x = +/-3
:
Find y
3%5E2%2By%5E2=25
9%2By%5E2=25
y%5E2=25-9
y^2 = 16
y = sqrt%2816%29
y = +/-4
:
:
Check solutions in 2nd equation
3%289%29%2B2%2816%29=59