document.write( "Question 306152: equation with rational expressions solve
\n" ); document.write( "x/x+1+6/x+7 , and please
\n" ); document.write( " x-3/5=x-3/x \n" ); document.write( "

Algebra.Com's Answer #219169 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
[x/x+1] + [6/x+7]
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\n" ); document.write( "gcd: (x+1)(x+7)
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\n" ); document.write( "Rewrite both fraction with the gcd as its denominator:
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\n" ); document.write( "[x(x+7)/gcd] + [6(x+1)/gcd]
\n" ); document.write( "---
\n" ); document.write( "Combine the numerators over the gcd:
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\n" ); document.write( "[x^2+7x+6x+6]/gcd
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\n" ); document.write( "[x^2+13x+6]/[(x^2+8x+7)
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\n" ); document.write( "\n" ); document.write( "(x-3)/5 = (x-3)/x
\n" ); document.write( "---
\n" ); document.write( "Cross multiply to get:
\n" ); document.write( "x(x-3) = 5(x-3)
\n" ); document.write( "---
\n" ); document.write( "x^2-3x = 5x-15
\n" ); document.write( "x^2-8x+15 = 0
\n" ); document.write( "Factor:
\n" ); document.write( "(x-5)(x-3) = 0
\n" ); document.write( "x = 5 or x = 3
\n" ); document.write( "--------------------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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