document.write( "Question 325252: Solve the following system of equations. Please show your work.
\n" ); document.write( "x - y = 16
\n" ); document.write( "2x + y = 2
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Algebra.Com's Answer #232892 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "Start with the given system of equations:\r
\n" ); document.write( "\n" ); document.write( "\"system%28x-y=16%2C2x%2By=2%29\"\r
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\n" ); document.write( "\n" ); document.write( "Add the equations together. You can do this by simply adding the two left sides and the two right sides separately like this:\r
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\n" ); document.write( "\n" ); document.write( "\"%28x-y%29%2B%282x%2By%29=%2816%29%2B%282%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28x%2B2x%29%2B%28-y%2By%29=16%2B2\" Group like terms.\r
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\n" ); document.write( "\n" ); document.write( "\"3x%2B0y=18\" Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "\"3x=18\" Simplify.\r
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\n" ); document.write( "\n" ); document.write( "\"x=%2818%29%2F%283%29\" Divide both sides by \"3\" to isolate \"x\".\r
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\n" ); document.write( "\n" ); document.write( "\"x=6\" Reduce.\r
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\n" ); document.write( "\n" ); document.write( "\"x-1y=16\" Now go back to the first equation.\r
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\n" ); document.write( "\n" ); document.write( "\"6-1y=16\" Plug in \"x=6\".\r
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\n" ); document.write( "\n" ); document.write( "\"-y=16-6\" Subtract \"6\" from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"-y=10\" Combine like terms on the right side.\r
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\n" ); document.write( "\n" ); document.write( "\"y=%2810%29%2F%28-1%29\" Divide both sides by \"-1\" to isolate \"y\".\r
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\n" ); document.write( "\n" ); document.write( "\"y=-10\" Reduce.\r
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\n" ); document.write( "\n" ); document.write( "So the solutions are \"x=6\" and \"y=-10\".\r
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\n" ); document.write( "\n" ); document.write( "Which form the ordered pair .\r
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\n" ); document.write( "\n" ); document.write( "This means that the system is consistent and independent.\r
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