document.write( "Question 176030: i've tried several different ways and can not seem to get this question of elimination,
\n" ); document.write( "5y-7x=29
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\n" ); document.write( "\n" ); document.write( "the x should equal -2 and y should equal 3
\n" ); document.write( "i know this because i used substitution earlier for this question,
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Algebra.Com's Answer #131152 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
Note: I've rearranged the terms to get the system\r
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\n" ); document.write( "\n" ); document.write( "\"system%28-7x%2B5y=29%2Cx%2B2y=4%29\"\r
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\n" ); document.write( "\n" ); document.write( "Start with the given system of equations:\r
\n" ); document.write( "\n" ); document.write( "\"system%28-7x%2B5y=29%2Cx%2B2y=4%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"7%28x%2B2y%29=7%284%29\" Multiply the both sides of the second equation by 7.\r
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\n" ); document.write( "\n" ); document.write( "\"7x%2B14y=28\" Distribute and multiply.\r
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\n" ); document.write( "\n" ); document.write( "So we have the new system of equations:\r
\n" ); document.write( "\n" ); document.write( "\"system%28-7x%2B5y=29%2C7x%2B14y=28%29\"\r
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\n" ); document.write( "\n" ); document.write( "Now 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( "\"%28-7x%2B5y%29%2B%287x%2B14y%29=%2829%29%2B%2828%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28-7x%2B7x%29%2B%285y%2B14y%29=29%2B28\" Group like terms.\r
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\n" ); document.write( "\n" ); document.write( "\"0x%2B19y=57\" Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "\"19y=57\" Simplify.\r
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\n" ); document.write( "\n" ); document.write( "\"y=%2857%29%2F%2819%29\" Divide both sides by \"19\" to isolate \"y\".\r
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\n" ); document.write( "\n" ); document.write( "\"y=3\" Reduce.\r
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\n" ); document.write( "\n" ); document.write( "\"-7x%2B5y=29\" Now go back to the first equation.\r
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\n" ); document.write( "\n" ); document.write( "\"-7x%2B5%283%29=29\" Plug in \"y=3\".\r
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\n" ); document.write( "\n" ); document.write( "\"-7x%2B15=29\" Multiply.\r
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\n" ); document.write( "\n" ); document.write( "\"-7x=29-15\" Subtract \"15\" from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"-7x=14\" Combine like terms on the right side.\r
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\n" ); document.write( "\n" ); document.write( "\"x=%2814%29%2F%28-7%29\" Divide both sides by \"-7\" to isolate \"x\".\r
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\n" ); document.write( "\n" ); document.write( "\"x=-2\" Reduce.\r
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\n" ); document.write( "\n" ); document.write( "So our answer is \"x=-2\" and \"y=3\".\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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\n" ); document.write( "\n" ); document.write( " Graph of \"-7x%2B5y=29\" (red) and \"x%2B2y=4\" (green) \r
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