document.write( "Question 486663: If 2a/a + 1/a = 4, then a = ? \n" ); document.write( "
Algebra.Com's Answer #332650 by bucky(2189)\"\" \"About 
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You can get rid of the \"a\"s in the denominator by multiplying all terms on both sides by a as follows:
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\n" ); document.write( "\"%28a%2A2a%29%2Fa+%2B+%28a%2A1%29%2Fa+=+a%2A4\"
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\n" ); document.write( "The a in the numerator cancels with the a in the denominator as follows:
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\n" ); document.write( "\"%28cross%28a%29%2A2a%29%2Fcross%28a%29%2B+%28cross%28a%29%2A1%29%2Fcross%28a%29+=+4a\"
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\n" ); document.write( "and what's left is:
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\n" ); document.write( "\"2a+%2B+1+=+4a\"
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\n" ); document.write( "Subtract 4a from both sides:
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\n" ); document.write( "\"2a+-+4a+%2B+1+=+4a+-+4a\"
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\n" ); document.write( "and this simplifies to:
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\n" ); document.write( "\"-2a+%2B+1+=+0\"
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\n" ); document.write( "Next subtract 1 from both sides:
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\n" ); document.write( "\"-2a+%2B+1+-+1+=+-1\"
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\n" ); document.write( "On the left side the +1 and -1 cancel each other out and this reduces the equation to:
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\n" ); document.write( "\"-2a+=+-1\"
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\n" ); document.write( "Solve for a by dividing both sides by -2:
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\n" ); document.write( "\"%28-2a%29%2F%28-2%29+=+%28-1%29%2F%28-2%29\"
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\n" ); document.write( "and the answer becomes:
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\n" ); document.write( "\"a+=+1%2F2\"
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\n" ); document.write( "That's the answer to this problem.
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\n" ); document.write( "Hope this helps you to see your way through the problem.
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