document.write( "Question 183032: HELP, I think the answer is no solution. Is that right, if not please show my how to do it. Use elimination to solve each system of equations. X=4Y+8 2X-8Y=-3 \n" ); document.write( "
Algebra.Com's Answer #137409 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"x=4y%2B8\" Start with the first equation.\r
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\n" ); document.write( "\n" ); document.write( "\"x-4y=8\" Subtract \"4y\" from both sides.\r
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\n" ); document.write( "\n" ); document.write( "So we have the system of equations:\r
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\n" ); document.write( "\n" ); document.write( "\"system%28x-4y=8%2C2x-8y=-3%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"-2%28x-4y%29=-2%288%29\" Multiply the both sides of the first equation by -2.\r
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\n" ); document.write( "\n" ); document.write( "\"-2x%2B8y=-16\" Distribute and multiply.\r
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\n" ); document.write( "\n" ); document.write( "So we have the new system of equations:\r
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\n" ); document.write( "\n" ); document.write( "\"system%28-2x%2B8y=-16%2C2x-8y=-3%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( "\"%28-2x%2B8y%29%2B%282x-8y%29=%28-16%29%2B%28-3%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28-2x%2B2x%29%2B%288y%2B-8y%29=-16%2B-3\" Group like terms.\r
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\n" ); document.write( "\n" ); document.write( "\"0x%2B0y=-19\" Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "\"0=-19\" Simplify.\r
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\n" ); document.write( "\n" ); document.write( "Since \"0=-19\" is NEVER true, this means that there are no solutions. \r
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\n" ); document.write( "\n" ); document.write( "So the system is inconsistent.
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