document.write( "Question 243720: Solve by the substitution method.\r
\n" ); document.write( "\n" ); document.write( "x + y = 2
\n" ); document.write( "x + y = -9
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Algebra.Com's Answer #178525 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "Start with the given system of equations:\r
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\n" ); document.write( "\n" ); document.write( "\"system%28x%2By=2%2Cx%2By=-9%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%2By=2\" Start with the first equation.\r
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\n" ); document.write( "\n" ); document.write( "\"y=2-x\" Subtract \"x\" from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"y=-x%2B2\" Rearrange the terms and simplify.\r
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\n" ); document.write( "\n" ); document.write( "\"x%2By=-9\" Move onto the second equation.\r
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\n" ); document.write( "\n" ); document.write( "\"x-x%2B2=-9\" Now plug in \"y=-x%2B2\".\r
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\n" ); document.write( "\n" ); document.write( "\"0x%2B2=-9\" Combine like terms on the left side.\r
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\n" ); document.write( "\n" ); document.write( "\"0x=-9-2\" Subtract \"2\" from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"0x=-11\" Combine like terms on the right side.\r
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\n" ); document.write( "\n" ); document.write( "\"0=-11\" Simplify.\r
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\n" ); document.write( "\n" ); document.write( "Since this equation is NEVER true for any x value, this means that there are no solutions.\r
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\n" ); document.write( "\n" ); document.write( "So the system is inconsistent.
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