document.write( "Question 1108061: Using elimination method what is x and y in the equation:\r
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document.write( "2x/3 + y/6 = 1
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document.write( "x/6 - y/2 = 1 \n" );
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Algebra.Com's Answer #723072 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! 1) 2x/3 + y/6 = 1 \n" ); document.write( ": \n" ); document.write( "2) x/6 - y/2 = 1 \n" ); document.write( ": \n" ); document.write( "rewrite equations 1 and 2 using the least common multiple of the divisors \n" ); document.write( ": \n" ); document.write( "3) 4x + y = 6 \n" ); document.write( ": \n" ); document.write( "4) x - 3y = 6 \n" ); document.write( ": \n" ); document.write( "multiply equation 3 by 3 \n" ); document.write( ": \n" ); document.write( "5) 12x + 3y = 18 \n" ); document.write( ": \n" ); document.write( "add equation 5 and equation 4 \n" ); document.write( ": \n" ); document.write( "13x = 24 \n" ); document.write( "x = 24/13 \n" ); document.write( ": \n" ); document.write( "use equation 2 to solve for y \n" ); document.write( ": \n" ); document.write( "(24/13) * (1/6) - y/2 = 1 \n" ); document.write( ": \n" ); document.write( "(4/13) - y/2 = 1 \n" ); document.write( ": \n" ); document.write( "-y/2 = 9/13 \n" ); document.write( ": \n" ); document.write( "y = -18/13 \n" ); document.write( ": \n" ); document.write( "************************************* \n" ); document.write( "x = 24/13 and y = -18/13 \n" ); document.write( ": \n" ); document.write( "check answer with equation 1 \n" ); document.write( ": \n" ); document.write( "(2/3) * (24/13) + (1/6) * (-18/13) = 1 \n" ); document.write( ": \n" ); document.write( "(16/13) - (3/13) = 1 \n" ); document.write( ": \n" ); document.write( "1 = 1 \n" ); document.write( ": \n" ); document.write( "check answer in equation 2 \n" ); document.write( ": \n" ); document.write( "(1/6) * (24/13) - (1/2) * (-18/13) = 1 \n" ); document.write( ": \n" ); document.write( "(4/13) + (9/13) = 1 \n" ); document.write( ": \n" ); document.write( "1 = 1 \n" ); document.write( ": \n" ); document.write( "answer checks \n" ); document.write( "************************************* \n" ); document.write( ": \n" ); document.write( " |