document.write( "Question 893859: solve for a and b in the equations. 6/a - 4/b = 1 and 9/a - 8/b = 1 \n" ); document.write( "

Algebra.Com's Answer #541566 by Fombitz(32388) $\"\"$ $\"About$

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Use a substitution,
\n" ); document.write( " $\"u=1%2Fa\"$ , $\"v=1%2Fb\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"6u-4v=1\"$
\n" ); document.write( " $\"9u-8v=1\"$
\n" ); document.write( "Multiply eq. 1 by $\"-2\"$ and add to eq. 2,
\n" ); document.write( " $\"-12u%2B8v%2B9u-8v=-2%2B1\"$
\n" ); document.write( " $\"-3u=-1\"$
\n" ); document.write( " $\"u=1%2F3\"$
\n" ); document.write( "Then,
\n" ); document.write( " $\"6%281%2F3%29-4v=1\"$
\n" ); document.write( " $\"2-4v=1\"$
\n" ); document.write( " $\"-4v=-1\"$
\n" ); document.write( " $\"v=1%2F4\"$
\n" ); document.write( "So then,
\n" ); document.write( " $\"1%2Fa=1%2F3\"$
\n" ); document.write( " $\"a=3\"$
\n" ); document.write( "and
\n" ); document.write( " $\"1%2Fb=1%2F4\"$
\n" ); document.write( " $\"b=4\"$ \n" ); document.write( "

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