document.write( "Question 744340: a fraction becomes 5/6 if 3 is added to both the numerator and denominator.if however 3 is subtracted from both numerator and denominator the fraction becomes 2/3 find the fraction \n" ); document.write( "
Algebra.Com's Answer #453286 by checkley79(3341)![]() ![]() ![]() You can put this solution on YOUR website! (X+3)/(Y+3)=5/6 \n" ); document.write( "6(X+3)=5(Y+3) \n" ); document.write( "6X+18=5Y+15 \n" ); document.write( "6X-5Y=15-16 \n" ); document.write( "6X-5Y=-1 \n" ); document.write( "(X-3)/(Y-3)=2/3 \n" ); document.write( "3(X-3)=2(Y-3) \n" ); document.write( "3X-9=2Y-6 \n" ); document.write( "3X-2Y=-6+9 \n" ); document.write( "####################### \n" ); document.write( "3X-2Y=3 MULTIPLY BY -2 & ADD. \n" ); document.write( "6X-5Y=-1 \n" ); document.write( "-6X+4Y=-6 \n" ); document.write( "-------------- \n" ); document.write( "-Y=-7 \n" ); document.write( "Y=7 ANS. \n" ); document.write( "6X-5*7=-1 \n" ); document.write( "6X-35=-1 \n" ); document.write( "6X=35-1 \n" ); document.write( "6X=34 \n" ); document.write( "X=34/6 \n" ); document.write( "X=5 2/3 ANS. \n" ); document.write( "PROOF: \n" ); document.write( "3(5 2/3)-2*7=3 \n" ); document.write( "3(17/3)-14=3 \n" ); document.write( "17-14=3 \n" ); document.write( "3=3 \n" ); document.write( " |