document.write( "Question 585447: 6x -y =-8
\n" ); document.write( "2x + y =-16
\n" ); document.write( "im getting stuck the first step!
\n" ); document.write( "try to solve by elimination method \n" ); document.write( "

Algebra.Com's Answer #373348 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( " $\"system%286x-y=-8%2C2x%2By=-16%29\"$ \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( " $\"%286x-y%29%2B%282x%2By%29=%28-8%29%2B%28-16%29\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"%286x%2B2x%29%2B%28-y%2By%29=-8%2B-16\"$ Group like terms.\r
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\n" ); document.write( "\n" ); document.write( " $\"8x%2B0y=-24\"$ Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( " $\"8x=-24\"$ Simplify.\r
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\n" ); document.write( "\n" ); document.write( " $\"x=%28-24%29%2F%288%29\"$ Divide both sides by $\"8\"$ to isolate $\"x\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"x=-3\"$ Reduce.\r
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\n" ); document.write( "\n" ); document.write( " $\"6x-1y=-8\"$ Now go back to the first equation.\r
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\n" ); document.write( "\n" ); document.write( " $\"6%28-3%29-1y=-8\"$ Plug in $\"x=-3\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"-18-y=-8\"$ Multiply.\r
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\n" ); document.write( "\n" ); document.write( " $\"-y=-8%2B18\"$ Add $\"18\"$ to 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 $\"x=-3\"$ 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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\n" ); document.write( "\n" ); document.write( "Notice when we graph the equations, we see that they intersect at

. So this visually verifies our answer.\r
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Graph of $\"6x-y=-8\"$ (red) and $\"2x%2By=-16\"$ (green) \r
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\n" ); document.write( "\n" ); document.write( "--------------------------------------------------------------------------------------------------------------
\n" ); document.write( "If you need more help, email me at jim_thompson5910@hotmail.com\r
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\n" ); document.write( "\n" ); document.write( "Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you\r
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\n" ); document.write( "\n" ); document.write( "Jim
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