SOLUTION: Solve the system: { 2y - 3x = 13xy { 5y + 2x = 4xy

Question 1101023: Solve the system:
{ 2y - 3x = 13xy
{ 5y + 2x = 4xy
Found 2 solutions by josgarithmetic, KMST:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!

Multiply first by 2 and multiply second equation by 3.

and you can try and solve for y using this.
(Seems to give from both original equations)

(Might have one more solution)
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!

There are two ways that
could be true: .
So, we can see two solutions:
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Those are solutions.
Could there be another solution?
Does this make sense?
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We could graph those two rational functions
and their horizontal and vertical asymptotes:

It looks like we've got all the solutions.
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