document.write( "Question 1042808: I Need help with solving an equation in two variables using elimination method. Here's the sum: 11x - 7y =xy , 9x - 4y = 6xy please.? \n" ); document.write( "

Algebra.Com's Answer #657836 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
11x - 7y =xy , 9x - 4y = 6xy
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\n" ); document.write( "Solve each for \"y\"::
\n" ); document.write( "y(x+7) = 11x
\n" ); document.write( "y = 11x/(x+7)
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\n" ); document.write( "y(6x+4) = 9x
\n" ); document.write( "y = 9x/(6x+4)
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\n" ); document.write( "Subtract and solve for \"x\"::
\n" ); document.write( "11x/(x+7)-9x/(6x+4) = 0
\n" ); document.write( "--------
\n" ); document.write( "11x(6x+4) - 9x(x+7) = 0
\n" ); document.write( "66x^2 + 24x - 9x^2 - 63x = 0
\n" ); document.write( "57x^2 - 39x = 0
\n" ); document.write( "x(57x - 39) = 0
\n" ); document.write( "x = 0 or x = 39/57 = 13/19
\n" ); document.write( "Solve for \"y\"::
\n" ); document.write( "y = 11x/(x+7)
\n" ); document.write( "If x = 0, y = 0
\n" ); document.write( "If x = 13/19, y = 143/146
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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