document.write( "Question 884396: x+y=7xy,
\n" ); document.write( "2x -3y+xy = 0
\n" ); document.write( " by both methods elimination and substitution
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Algebra.Com's Answer #534249 by josgarithmetic(39625) $\"\"$ $\"About$

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A solution using Elimination does not seem possible; but substitution should work.\r
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\n" ); document.write( "\n" ); document.write( "Solve either equation for either variable; and substitute the expression into the other equation. Solve for the remaining variable for its value and solve then for the other variable's value.\r
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\n" ); document.write( "\n" ); document.write( " $\"x%2By=7xy\"$
\n" ); document.write( " $\"x-7xy=-y\"$
\n" ); document.write( " $\"x%281-7y%29=-y\"$
\n" ); document.write( " $\"x%287y-1%29=y\"$
\n" ); document.write( " $\"highlight_green%28x=y%2F%287y-1%29%29\"$
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\n" ); document.write( "The other equation:
\n" ); document.write( " $\"2x-3y%2Bxy=0\"$
\n" ); document.write( " $\"2%28y%2F%287y-1%29%29%2B3y%2B%28y%2F%287y-1%29%29y=0\"$
\n" ); document.write( " $\"2y%2F%287y-1%29%2B3y%2By%5E2%2F%287y-1%29=0\"$ , then multiply left and right by 7y-1,
\n" ); document.write( " $\"2y%2B3y%287y-1%29%2By%5E2=0\"$
\n" ); document.write( " $\"2y%2B21y%5E2-3y%2By%5E2=0\"$
\n" ); document.write( " $\"22y%5E2-y=0\"$
\n" ); document.write( " $\"y%2822y-1%29=0\"$
\n" ); document.write( " $\"y=0\"$ OR $\"y=1%2F22\"$ \r
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\n" ); document.write( "\n" ); document.write( "Continue this for the corresponding values for x....
\n" ); document.write( "Use the green-highlighted formula.\r
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\n" ); document.write( "\n" ); document.write( "You cannot completely separate the x from the y in both equations in order to use Elimination Method. \n" ); document.write( "

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