document.write( "Question 93546: How do I solve this rational equation:(x+1)/x + (x+4)/x =6 \n" ); document.write( "

Algebra.Com's Answer #68121 by ptaylor(2198) $\"\"$ $\"About$

You can put this solution on YOUR website!
How do I solve this rational equation:
\n" ); document.write( " $\"%28x%2B1%29%2Fx+%2B+%28x%2B4%29%2Fx+=6\"$ First, multiply each term by x. This will get rid of the fractions\r
\n" ); document.write( "\n" ); document.write( " $\"%28%28x%2B1%29%2Fx%29%28x%29%2B%28%28x%2B4%29%2Fx%29%28x%29=6%2Ax\"$ simplifying, we get:\r
\n" ); document.write( "\n" ); document.write( " $\"%28x%2B1%29%2B%28x%2B4%29=6x\"$ get rid of parens\r
\n" ); document.write( "\n" ); document.write( " $\"x%2B1%2Bx%2B4=6x\"$ or
\n" ); document.write( " $\"2x%2B5=6x\"$ subtract 2x from both sides\r
\n" ); document.write( "\n" ); document.write( " $\"2x-2x%2B5=6x-2x\"$ further simplifying \r
\n" ); document.write( "\n" ); document.write( " $\"5=4x\"$ divide both sides by 4\r
\n" ); document.write( "\n" ); document.write( " $\"x=5%2F4\"$ -------------------ans\r
\n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor\r
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