document.write( "Question 417994: Solve the system of equations using the elimination method:\r
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document.write( "2x + 4y = 205
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document.write( "3x + 8y = 342.50 \n" );
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Algebra.Com's Answer #292622 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "2x + 4y = 205\r\n" ); document.write( "3x + 8y = 342.50\r\n" ); document.write( "\r\n" ); document.write( "We can make the y terms cancel by multiplying\r\n" ); document.write( "the first equation by -2, to make the + 4y\r\n" ); document.write( "become - 8y so it will cancel with the + 8y\r\n" ); document.write( "in the second equation:\r\n" ); document.write( "\r\n" ); document.write( "-4x - 8y = -410\r\n" ); document.write( " 3x + 8y = 342.50 Then we add the equations term by term:\r\n" ); document.write( "------------------\r\n" ); document.write( " -x = - 67.50\r\n" ); document.write( " x = 67.50\r\n" ); document.write( "\r\n" ); document.write( "We can make the x terms cancel by multiplying\r\n" ); document.write( "the first equation by -3, to make the 2x\r\n" ); document.write( "become -6x, and multiply the second equation \r\n" ); document.write( "by 2 to make the 3x become 6x so the -6x will \r\n" ); document.write( "cancel with the 6x in the second equation:\r\n" ); document.write( "\r\n" ); document.write( "-6x - 12y = -615\r\n" ); document.write( " 6x + 16y = 685 Then we add the equations term by term:\r\n" ); document.write( "------------------\r\n" ); document.write( " 4y = 70\r\n" ); document.write( " y = 17.50\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |