Question 348576
{{{4x+9y=30xy}}}
{{{9y-30xy=-4x}}}
{{{y(9-30x)=-4x}}}
1.{{{y=(4x)/(30x-9)}}}
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{{{5x-3y=xy}}}
{{{xy+3y=5x}}}
2.{{{y=(5x)/(x+3)}}}
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Set eq. 1 equal to eq. 2,
{{{(4x)/(30x-9)=(5x)/(x+3)}}}
{{{4x^2+12x=150x^2-45x}}}
{{{146x^2-57x=0}}}
{{{x(146x-57)=0}}}
Two solutions:
{{{highlight( x=0) }}}
{{{y=(5x)/(x+3)=0/3}}}
{{{highlight(y=0)}}}
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{{{146x-57=0}}}
{{{146x=57}}}
{{{highlight(x=57/146)}}}
{{{y=(5(57/146))/(57/146+438/146)}}}
{{{y=(285/146)/(495/146)}}}
{{{highlight(y=19/33)}}}