document.write( "Question 741688: sir what is (2x)/(3)-(7y)/(2)= -5
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document.write( "(5x)/(3)-(y)/(2)= 4? \n" );
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Algebra.Com's Answer #452120 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! We are asked to solve\r \n" ); document.write( "\n" ); document.write( "(2x)/(3)-(7y)/(2)= -5 \n" ); document.write( "(5x)/(3)-(y)/(2)= 4\r \n" ); document.write( "\n" ); document.write( "1) note that 3 * 2 = 6 is our common denominator, so we can rewrite \n" ); document.write( " (4x/6) - (21y/6) = -5 \n" ); document.write( " multiply both sides of = by 6 \n" ); document.write( " 4x - 21y = -30\r \n" ); document.write( "\n" ); document.write( "2) 6 is also the common denominator here, so we rewrite \n" ); document.write( " (10x/6) - (3y/6) = 4 \n" ); document.write( " multiply both sides of = by 6 \n" ); document.write( " 10x - 3y = 24\r \n" ); document.write( "\n" ); document.write( "solve 1) for x and we have x = (-30+21y)/4 \n" ); document.write( "substitute for x in 2)\r \n" ); document.write( "\n" ); document.write( " 10*((21y-30)/4) - 3y = 24 \n" ); document.write( " 5*((21y-30)/2) - 3y = 24 \n" ); document.write( " (105y - 150)/2 - 3y = 24 \n" ); document.write( " 105y - 150 - 6y = 48 \n" ); document.write( " 99y = 198\r \n" ); document.write( "\n" ); document.write( " y = 2 \n" ); document.write( " 10x - 3*2 = 24 \n" ); document.write( " 10x = 30 and x = 3 \n" ); document.write( " \n" ); document.write( " |