document.write( "Question 74372: Chapter The Elimination Method
\n" ); document.write( "6x-5y=3
\n" ); document.write( "-12x+8y=5 \n" ); document.write( "

Algebra.Com's Answer #53381 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"6x-5y=3\"$
\n" ); document.write( " $\"-12x%2B8y=5\"$
\n" ); document.write( "We need to get the x coefficients the same number but opposite signs so they cancel. We can do this by multiplying the 1st equation by 2.
\n" ); document.write( " $\"2%286x-5y%29=2%283%29\"$
\n" ); document.write( " $\"12x-10y=6\"$
\n" ); document.write( "Add this to $\"-12x%2B8y=5\"$
\n" ); document.write( " $\"12x-10y=6\"$
\n" ); document.write( "+ $\"-12x%2B8y=5\"$
\n" ); document.write( "----------------
\n" ); document.write( " $\"0x-2y=11\"$
\n" ); document.write( " $\"2y=11\"$ Solve for y
\n" ); document.write( " $\"y=-11%2F2\"$
\n" ); document.write( "Use this info to solve for x
\n" ); document.write( " $\"6x-5%28-11%2F2%29=3\"$
\n" ); document.write( " $\"6x%2B55%2F2=3\"$
\n" ); document.write( " $\"6x=3-55%2F2\"$
\n" ); document.write( " $\"6x=6%2F2-55%2F2\"$
\n" ); document.write( " $\"6x=-49%2F2\"$
\n" ); document.write( " $\"x=%28-49%2F2%29%2F6\"$
\n" ); document.write( " $\"x=-49%2F12\"$ \r
\n" ); document.write( "\n" ); document.write( "So the solution is (-49/12,-11/2)
\n" ); document.write( " \n" ); document.write( "

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