document.write( "Question 178868: Solve each system by addition\r
\n" ); document.write( "\n" ); document.write( "2x = 2 - y
\n" ); document.write( "3x + y = -1\r
\n" ); document.write( "\n" ); document.write( "Thanks
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Algebra.Com's Answer #133832 by nerdybill(7384)\"\" \"About 
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2x = 2 - y
\n" ); document.write( "3x + y = -1
\n" ); document.write( ".
\n" ); document.write( "Begin by rearranging the 1st equation:
\n" ); document.write( "2x + y = 2
\n" ); document.write( "3x + y = -1
\n" ); document.write( ".
\n" ); document.write( "Multiply both sides of the 1st equation by -1:
\n" ); document.write( "-2x - y = -2
\n" ); document.write( " 3x + y = -1
\n" ); document.write( ".
\n" ); document.write( "Now, add the two equations together:
\n" ); document.write( "-2x - y = -2
\n" ); document.write( " 3x + y = -1
\n" ); document.write( "----------------
\n" ); document.write( " x = -3 (solution for x)
\n" ); document.write( ".
\n" ); document.write( "To find y, substitute the above into equation 1 and solve for y:
\n" ); document.write( "2x + y = 2
\n" ); document.write( "2(-3) + y = 2
\n" ); document.write( "-6 + y = 2
\n" ); document.write( "y = 8 (solution for y)\r
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