document.write( "Question 176534: how do I solve the system of equations: x-2y=5 -3x+2y=7? \n" ); document.write( "

Algebra.Com's Answer #131616 by EMStelley(208) $\"\"$ $\"About$

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$\"x-2y=5\"$
\n" ); document.write( " $\"-3x%2B2y=7\"$
\n" ); document.write( "This system lends itself to the addition method, which involves adding the two equations by columns. So we get
\n" ); document.write( " $\"-2x=12\"$
\n" ); document.write( " $\"x=-6\"$
\n" ); document.write( "To find y, you plug in x=-6 into either of the original equations. I will use the first one:
\n" ); document.write( " $\"-6-2y=5\"$
\n" ); document.write( " $\"-2y=11\"$
\n" ); document.write( " $\"y=-11%2F2\"$
\n" ); document.write( "So the solution is (-6, -11/2). \n" ); document.write( "

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