document.write( "Question 135530: Solve the system by substitution\r
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Algebra.Com's Answer #99298 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
Start with the given system\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2-4=6x-13\" Plug in \"y=x%5E2-4\" into the second equation\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2-4-6x%2B13=0\" Get all terms to left side\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2-6x%2B9=0\" Combine like terms\r
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\n" ); document.write( "\n" ); document.write( "\"%28x-3%29%28x-3%29=0\" Factor the left side (note: if you need help with factoring, check out this solver)\r
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\n" ); document.write( "\n" ); document.write( "Now set each factor equal to zero:\r
\n" ); document.write( "\n" ); document.write( "\"x-3=0\" or \"x-3=0\" \r
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\n" ); document.write( "\n" ); document.write( "\"x=3\" or \"x=3\" Now solve for x in each case\r
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\n" ); document.write( "\n" ); document.write( "Since we have a repeating answer, our only answer is \"x=3\"\r
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\n" ); document.write( "\n" ); document.write( "\"y=6x-13\" Go back to the second equation\r
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\n" ); document.write( "\n" ); document.write( "\"y=6%283%29-13\" Plug in \"x=3\" \r
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\n" ); document.write( "\n" ); document.write( "\"y=5\" Simplify\r
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\n" ); document.write( "\n" ); document.write( "Answer:\r
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\n" ); document.write( "\n" ); document.write( "So the solution is (3,5)
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