document.write( "Question 554702: using \"solve by elimination\" what is the answer to, 7x+2y=10 and negitave 7x+1y= negitave 17 \n" ); document.write( "
Algebra.Com's Answer #361458 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%287x%2B2y=10%2C-7x%2By=-17%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( "\"%287x%2B2y%29%2B%28-7x%2By%29=%2810%29%2B%28-17%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"%287x%2B-7x%29%2B%282y%2B1y%29=10%2B-17\" Group like terms.\r
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\n" ); document.write( "\n" ); document.write( "\"0x%2B3y=-7\" Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "\"3y=-7\" Simplify.\r
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\n" ); document.write( "\n" ); document.write( "\"y=%28-7%29%2F%283%29\" Divide both sides by \"3\" to isolate \"y\".\r
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\n" ); document.write( "\n" ); document.write( "\"7x%2B2y=10\" Now go back to the first equation.\r
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\n" ); document.write( "\n" ); document.write( "\"7x%2B2%28-7%2F3%29=10\" Plug in \"y=-7%2F3\".\r
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\n" ); document.write( "\n" ); document.write( "\"7x-14%2F3=10\" Multiply.\r
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\n" ); document.write( "\n" ); document.write( "\"3%287x-14%2Fcross%283%29%29=3%2810%29\" Multiply both sides by the LCD \"3\" to clear any fractions.\r
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\n" ); document.write( "\n" ); document.write( "\"21x-14=30\" Distribute and multiply.\r
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\n" ); document.write( "\n" ); document.write( "\"21x=30%2B14\" Add \"14\" to both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"21x=44\" Combine like terms on the right side.\r
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\n" ); document.write( "\n" ); document.write( "\"x=%2844%29%2F%2821%29\" Divide both sides by \"21\" to isolate \"x\".\r
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\n" ); document.write( "\n" ); document.write( "So the solutions are \"x=44%2F21\" and \"y=-7%2F3\".\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( "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\r
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