document.write( "Question 104573: Multiply both sides of each equation by a common denominator to eliminate the fractions. then solve the system\r
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document.write( "x/2 + y/3 = 8\r
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document.write( "2x/3 + 3y/2 = 17 \n" );
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Algebra.Com's Answer #76095 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! solve the system\r \n" ); document.write( "\n" ); document.write( "x/2 + y/3 = 8 \n" ); document.write( "Multiply thru by by 6 to get: \n" ); document.write( "1st: 3x + 2y = 48 \n" ); document.write( "---------------- \n" ); document.write( "2x/3 + 3y/2 = 17 \n" ); document.write( "Multiply thru by 6 to get: \n" ); document.write( "2nd: 4x + 9y = 102 \n" ); document.write( "------------------ \n" ); document.write( "Multiply 1st by 4 and 2nd by 3 to get: \n" ); document.write( "3rd: 12x + 8y = 192 \n" ); document.write( "4th: 12x +27y = 306 \n" ); document.write( "----------------------- \n" ); document.write( "Subtract 3rd from 4th to solve for y: \n" ); document.write( "19y = 114 \n" ); document.write( "y = 6 \n" ); document.write( "-------------- \n" ); document.write( "Substitute into 3x+2y=48 to solve for \"x\". \n" ); document.write( "3x + 12 = 48 \n" ); document.write( "3x = 36 \n" ); document.write( "x = 12 \n" ); document.write( "--------------- \n" ); document.write( "Final solution: \n" ); document.write( "x=12; y=6 \n" ); document.write( "======================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |