SOLUTION: Please help me to find the solution set(s) to this problem. Thank you! {{{3x^2+2y^2-29=0}}} {{{2x^2-5y^2-13=0}}}

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Question 430768: Please help me to find the solution set(s) to this problem. Thank you!


Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!


Do it by the addition method.
Eliminate  by multiplying the first equation through by 5
and the second equation through by 2.







 



 


Substitute ±3 for x in










So there are 4 solutions:

(3,1), (3,-1), (-3,1), and (-3,-1)

Here is the graphical solution:



The black oval curve is the graph of the first equation.
The red curve (in two parts) is the graph of the second equation
Notice that they intersect at those 4 solution points.

Edwin


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