document.write( "Question 570706: seven times a number is subtracted from 2 times its reciprcoal. the result is 13 what is the number? \n" ); document.write( "

Algebra.Com's Answer #367737 by Maths68(1474) $\"\"$ $\"About$

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Let $\"x\"$ be the number\r
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\n" ); document.write( "\n" ); document.write( "Given
\n" ); document.write( "Seven times of x= $\"7x\"$
\n" ); document.write( "Reciprocal of x = $\"1%2Fx\"$
\n" ); document.write( "2 times of reciprocal of x = $\"2%2Fx\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"7x-2%2Fx=13\"$
\n" ); document.write( " $\"%287x%5E2-2%29%2Fx=13\"$
\n" ); document.write( " $\"7x%5E2-2=13x\"$
\n" ); document.write( " $\"7x%5E2-13x-2=0\"$
\n" ); document.write( " $\"7x%5E2-14x%2Bx-2=0\"$
\n" ); document.write( " $\"7x%28x-2%29%2B1%28x-2%29=0\"$
\n" ); document.write( " $\"%287x%2B1%29%28x-2%29=0\"$
\n" ); document.write( " $\"7x%2B1=0\"$ or $\"x-2=0\"$
\n" ); document.write( " $\"7x=-1\"$ or $\"x=2\"$
\n" ); document.write( " $\"7x%2F7=-1%2F7\"$ or $\"x=2\"$
\n" ); document.write( " $\"cross%287%29x%2Fcross%287%29=-1%2F7\"$ or $\"x=2\"$
\n" ); document.write( " $\"x=-1%2F7\"$ Reject
\n" ); document.write( "So
\n" ); document.write( " $\"x=2\"$ \r
\n" ); document.write( "\n" ); document.write( "Number is $\"2\"$ \r
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\n" ); document.write( "\n" ); document.write( "Check
\n" ); document.write( "=====
\n" ); document.write( " $\"7%28x%29-x%2F2=13\"$
\n" ); document.write( "Put $\"x=2\"$
\n" ); document.write( " $\"7%282%29-2%2F2=13\"$
\n" ); document.write( " $\"14-2%2F2=13\"$
\n" ); document.write( " $\"14-1=13\"$
\n" ); document.write( " $\"13=13\"$
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