document.write( "Question 68304: Please help me solve for R for this equation: $\"%283%2F%285%2BR%29%29+%2B+%28R%2F%28R%2B2%29%29=%28R%2B4%29%2F%28R%2B5%29+\"$ \n" ); document.write( "

Algebra.Com's Answer #48594 by rmromero(383) $\"\"$ $\"About$

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\n" ); document.write( "To solve a Rational Equation:
\n" ); document.write( "1. Multiply each term of the equation by the least common denominator.
\n" ); document.write( "With the problem 5 + R = R + 5 so the Least common denominator is (R+5)(R+2)
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\n" ); document.write( "Solve the equation
\n" ); document.write( " $\"%283%28R%2B2%29%29+%2B+%28R%28R%2B5%29%29=%28R%2B4%29%28R%2B2%29\"$ Distributive Property
\n" ); document.write( " $\"+%283R%2B6%29+%2B+%28R%5E2%2B5R%29+=+%28R%5E2+%2B+2R+%2B+4R+%2B+8%29\"$
\n" ); document.write( " $\"+3R+%2B+6+%2B+R%5E2+%2B+5R+=+R%5E2+%2B+6R+%2B+8%29\"$
\n" ); document.write( " $\"+R%5E2+%2B+8R+%2B+6+-+R%5E2+-+6R+-+8+=+0\"$
\n" ); document.write( " $\"+2R+-+2+=+0\"$ Combine Like terms
\n" ); document.write( " $\"2R+-+2+%2B+2+=+0+%2B+2\"$ Add both sides with 2
\n" ); document.write( " $\"+2R%2F2+=+2%2F2\"$ divide both sides with 2
\n" ); document.write( "Answer is R = 1\r
\n" ); document.write( "\n" ); document.write( "Checking :
\n" ); document.write( " $\"%283%2F%285%2BR%29%29+%2B+%28R%2F%28R%2B2%29%29=%28R%2B4%29%2F%28R%2B5%29+\"$ , R = 1
\n" ); document.write( " $\"%283%2F%285%2B1%29%29+%2B+%281%2F%281%2B2%29%29=%281%2B4%29%2F%281%2B5%29+\"$
\n" ); document.write( " $\"%283%2F6%29+%2B+%281%2F3%29=+5%2F6+\"$
\n" ); document.write( " $\"%283%2F6%29+%2B+%282%2F6%29+=+5%2F6\"$
\n" ); document.write( " $\"+5%2F6+=+5%2F6\"$ True\r
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\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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