SOLUTION: Solve 4x+9y=30xy 5x-3y=xy

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Question 348576: Solve 4x+9y=30xy
5x-3y=xy
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
4x%2B9y=30xy
9y-30xy=-4x
y%289-30x%29=-4x
1.y=%284x%29%2F%2830x-9%29
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.
.
5x-3y=xy
xy%2B3y=5x
2.y=%285x%29%2F%28x%2B3%29
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.
.
Set eq. 1 equal to eq. 2,
%284x%29%2F%2830x-9%29=%285x%29%2F%28x%2B3%29
4x%5E2%2B12x=150x%5E2-45x
146x%5E2-57x=0
x%28146x-57%29=0
Two solutions:
highlight%28+x=0%29+
y=%285x%29%2F%28x%2B3%29=0%2F3
highlight%28y=0%29
.
.
.
146x-57=0
146x=57
highlight%28x=57%2F146%29
y=%285%2857%2F146%29%29%2F%2857%2F146%2B438%2F146%29
y=%28285%2F146%29%2F%28495%2F146%29
highlight%28y=19%2F33%29