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)\"\" \"About 
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(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( "
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