document.write( "Question 811058: -2x+4y=10
\n" ); document.write( "2x-5y=-14 \n" ); document.write( "

Algebra.Com's Answer #488593 by erica65404(394) $\"\"$ $\"About$

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$\"-2x%2B4y=10\"$
\n" ); document.write( " $\"2x-5y=-14\"$
\n" ); document.write( "We are going to solve the first problem for x.
\n" ); document.write( " $\"-2x%2B4y=10\"$
\n" ); document.write( " $\"-2x=-4y%2B10\"$
\n" ); document.write( " $\"x=2y-5\"$
\n" ); document.write( "plug this equation into the second equation. x can be substituted for 2y-5.
\n" ); document.write( " $\"2%282y-5%29-5y=-14\"$
\n" ); document.write( " $\"4y-10-5y=-14\"$
\n" ); document.write( " $\"-y-10=-14%0D%0A%7B%7B%7B-y=-4\"$
\n" ); document.write( " $\"y=4\"$
\n" ); document.write( "Now we know what y is, so plug this into either equation to find x.
\n" ); document.write( " $\"-2x%2B2%284%29=10\"$
\n" ); document.write( " $\"-2x%2B8=10\"$
\n" ); document.write( " $\"-2x=2\"$
\n" ); document.write( " $\"x=-1\"$
\n" ); document.write( "The solution is (-1,4). This is the point where these 2 lines cross. \n" ); document.write( "

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