document.write( "Question 144929: Us the substitution method to solve the following system\r
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document.write( "1/5x+1/5y=9
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document.write( "1/3x-1/4y=8 \n" );
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Algebra.Com's Answer #105612 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Us the substitution method to solve the following system\r \n" ); document.write( "\n" ); document.write( "1/5x+1/5y=9 \n" ); document.write( "Divide thru by 1/5 to get: \n" ); document.write( "x + y = 45 \n" ); document.write( "-------------- \n" ); document.write( "1/3x-1/4y=8 \n" ); document.write( "Multiply thru by 12 to get: \n" ); document.write( "4x + 3y = 96 \n" ); document.write( "---------------- \n" ); document.write( "Solve the 1st for x: \n" ); document.write( "x = 45-y \n" ); document.write( "Substitute into the 2nd to get: \n" ); document.write( "4(45-y) + 3y = 96 \n" ); document.write( "180 -4y + 3y = 96 \n" ); document.write( "y = 84 \n" ); document.write( "------------- \n" ); document.write( "Substitute into x = 45-y to solve for \"x\": \n" ); document.write( "x = 45 - 84 \n" ); document.write( "x = -39 \n" ); document.write( "============= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |