document.write( "Question 74728: Please help. I do not even know what to call this.
\n" ); document.write( "Solve each of the following systems by addition. If a unique solution does not exist, state whether the system is inconsistent or dependent.\r
\n" ); document.write( "\n" ); document.write( "2x+3y=1
\n" ); document.write( "5x+3y=16
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Algebra.Com's Answer #53694 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"-1%282x%2B3y%29=-1%281%29\"Multiply the 1st equation by -1
\n" ); document.write( "+\"5x%2B3y=16\"
\n" ); document.write( "---------------
\n" ); document.write( "\"3x=15\"
\n" ); document.write( "\"x=5\"
\n" ); document.write( "Plug this in to find y
\n" ); document.write( "\"5%285%29%2B3y=16\"
\n" ); document.write( "\"25%2B3y=16\"
\n" ); document.write( "\"3y=-9\"
\n" ); document.write( "\"y=-3\"
\n" ); document.write( "So the solution is (5,-3). If you graphed the 2 equations, they would intersect at (5,-3)
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\n" ); document.write( "Check:
\n" ); document.write( "\"2%285%29%2B3%28-3%29=1\"Plug in (5,-3)
\n" ); document.write( "\"5%285%29%2B3%28-3%29=16\"
\n" ); document.write( "\"10-9=1\"
\n" ); document.write( "\"25-9=16\"
\n" ); document.write( "\"1=1\"works
\n" ); document.write( "\"16=16\"works \n" ); document.write( "

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