document.write( "Question 294749: I am not understanding how to use substitution or elimination of systems of equations. 2x+3y=8 and 3x+2y=7 \n" ); document.write( "

Algebra.Com's Answer #212535 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
1. $\"2x%2B3y=8\"$ \r
\n" ); document.write( "\n" ); document.write( "2. $\"3x%2B2y=7\"$
\n" ); document.write( "From eq. 1,
\n" ); document.write( " $\"2x%2B3y=8\"$
\n" ); document.write( " $\"2x=8-3y\"$
\n" ); document.write( " $\"x=4-%283%2F2%29y\"$
\n" ); document.write( " $\"3x=12-%289%2F2%29y\"$
\n" ); document.write( "Now subsitute into eq.2,
\n" ); document.write( " $\"3x%2B2y=7\"$
\n" ); document.write( " $\"%2812-%289%2F2%29y%29%2B2y=7\"$
\n" ); document.write( " $\"-%289%2F2%29y%2B%284%2F2%29y=-5\"$
\n" ); document.write( " $\"-%285%2F2%29y=-5\"$
\n" ); document.write( " $\"highlight%28y=2%29\"$
\n" ); document.write( "Then you can use either equation to solve for x.
\n" ); document.write( " $\"2x%2B3y=8\"$
\n" ); document.write( " $\"2x%2B3%282%29=8\"$
\n" ); document.write( " $\"2x%2B6=8\"$
\n" ); document.write( " $\"2x=2\"$
\n" ); document.write( " $\"highlight%28+x=1%29\"$
\n" ); document.write( " \n" ); document.write( "

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