document.write( "Question 57357: 1/x-8/21=3/7x Thank you! \n" ); document.write( "

Algebra.Com's Answer #39095 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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$\"1%2Fx+-+8%2F21+=+3%2F7x\"$
\n" ); document.write( ":
\n" ); document.write( "It's helpful to mult equation thru by the common denominator to get rid of the pesky fractions. 21x would be a good common denominator:
\n" ); document.write( " $\"%2821x%281%29%29%2Fx+-+%2821x%288%29%29%2F21+=+%2821x%283%29%29%2F7x+\"$
\n" ); document.write( "That would leave you with:
\n" ); document.write( "21(1) - x(8) = 3(3)
\n" ); document.write( ":
\n" ); document.write( "21 - 8x + 9
\n" ); document.write( ":
\n" ); document.write( "subtract 21 from both sides:
\n" ); document.write( "21 - 21 - 8x = 9 - 21
\n" ); document.write( "-8x = -12
\n" ); document.write( ":
\n" ); document.write( "Divide both sides by -8 and you ave
\n" ); document.write( " +1x = -12/-8
\n" ); document.write( " x = +3/2
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "To check our solution in the original equation let's use 1.5 for 3/2
\n" ); document.write( " $\"1%2Fx+-+8%2F21+=+3%2F7x\"$
\n" ); document.write( " $\"1%2F1.5+-+8%2F21+=+3%2F7%281.5%29\"$
\n" ); document.write( ".67 - .381 ~.289 close enough for checking \n" ); document.write( "

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