document.write( "Question 151143: 5 3
\n" ); document.write( "____ + ______ =⅔
\n" ); document.write( "x – 1 7X – 7
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #111131 by checkley77(12844) $\"\"$ $\"About$

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5 3
\n" ); document.write( "____ + ______ =2/3
\n" ); document.write( "x – 1 7X – 7
\n" ); document.write( "[5(7X-7)+3(X-1)]/(X-1)(7X-7)=2/3
\n" ); document.write( "[35X-35+3X-3]/(7X^2-14X+7)=2/3
\n" ); document.write( "2(7X^2-14X+7)=3(38X-38)
\n" ); document.write( "14X^2-28X+14=114X-114
\n" ); document.write( "14X^2-28X-114X+14+114=0
\n" ); document.write( "14X^2-142X+128=0
\n" ); document.write( "2(7X^2-71X+64)=0
\n" ); document.write( "2(7X-64)(X-1)=0
\n" ); document.write( "7X-64=0
\n" ); document.write( "7X=64
\n" ); document.write( "X=64/7
\n" ); document.write( "X=9.1428 ANSWER.
\n" ); document.write( "X-1=0
\n" ); document.write( "X=1 NOT A VALID ANSWER BECAUSE THIS WOULD REQUIRE DIVIDING BY 0.
\n" ); document.write( "PROOF
\n" ); document.write( "5/(9.1428-1)+3/(7*9.1428-7)=2/3
\n" ); document.write( "5/8.1428+3/(64-7)=2/3
\n" ); document.write( ".614+3/57=2/3
\n" ); document.write( ".614+.0526=2/3
\n" ); document.write( ".666=.666 \n" ); document.write( "

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