document.write( "Question 135442: Solve the system\r
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\n" ); document.write( "\n" ); document.write( " $\"y=12x-19\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y=x%5E2%2B5x-7\"$ \n" ); document.write( "

Algebra.Com's Answer #99246 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( " $\"y=x%5E2%2B5x-7\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"12x-19=x%5E2%2B5x-7\"$ Set the two equations equal to one another\r
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\n" ); document.write( "\n" ); document.write( " $\"0=x%5E2%2B5x-7-12x%2B19\"$ Subtract 12x from both sides. Add 19 to both sides. \r
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\n" ); document.write( "\n" ); document.write( " $\"0=x%5E2-7x%2B12\"$ Combine like terms\r
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\n" ); document.write( "\n" ); document.write( " $\"%28x-4%29%28x-3%29=0\"$ 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( " $\"x-4=0\"$ or $\"x-3=0\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"x=4\"$ or $\"x=3\"$ Now solve for x in each case\r
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\n" ); document.write( "\n" ); document.write( "So our x values are\r
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\n" ); document.write( "\n" ); document.write( " $\"x=4\"$ or $\"x=3\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y=12x-19\"$ Start with the first equation\r
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\n" ); document.write( "\n" ); document.write( " $\"y=12%284%29-19\"$ Plug in $\"x=4\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y=29\"$ Simplify\r
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\n" ); document.write( "\n" ); document.write( "So the first ordered pair is (4,29)\r
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\n" ); document.write( "\n" ); document.write( " $\"y=12x-19\"$ Start with the first equation\r
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\n" ); document.write( "\n" ); document.write( " $\"y=12%283%29-19\"$ Plug in $\"x=3\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y=17\"$ Simplify\r
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\n" ); document.write( "\n" ); document.write( "So the second ordered pair is (3,17)\r
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\n" ); document.write( "\n" ); document.write( "So the solutions are \r
\n" ); document.write( "\n" ); document.write( "(4,29) or (3,17)
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