document.write( "Question 178868:  Solve each system by addition\r
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document.write( "2x = 2 - y
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document.write( "3x + y = -1\r
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document.write( "Thanks \n" );
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| Algebra.Com's Answer #133832 by nerdybill(7384)     You can put this solution on YOUR website! 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 \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |