document.write( "Question 258240: 3 system..
\n" ); document.write( "x+2y+5z= -1
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\n" ); document.write( "3x+4y-4z=14
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Algebra.Com's Answer #190109 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"system%28x%2B2y%2B5z=+-1%2C%0D%0A2x-y%2Bz=2%2C%0D%0A3x%2B4y-4z=14%29\"\r\n" );
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document.write( "Pick a letter and an equation to solve for it in.\r\n" );
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document.write( "I will pick z and the second equation to solve for z in:\r\n" );
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document.write( "\"2x-y%2Bz=2\"\r\n" );
document.write( "\"z=2-2x%2By\"\r\n" );
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document.write( "Substitute \"%282-2x%2By%29\" for z in the other two\r\n" );
document.write( "equations, (but not the same one you just used) \r\n" );
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document.write( "Substituting it in\r\n" );
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document.write( "\"x%2B2y%2B5z=-1\"\r\n" );
document.write( "\"x%2B2y%2B5%282-2x%2By%29=-1\"\r\n" );
document.write( "\"x%2B2y%2B10-10x%2B5y=-1\"\r\n" );
document.write( "\"-9x%2B7y%2B10=-1\"\r\n" );
document.write( "\"-9x%2B7y=-11\"\r\n" );
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document.write( "Substituting it in\r\n" );
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document.write( "\"3x%2B4y-4z=14\"\r\n" );
document.write( "\"3x%2B4y-4%282-2x%2By%29=14\"\r\n" );
document.write( "\"3x%2B4y-8%2B8x-4y=14\"\r\n" );
document.write( "\"11x-8=14\"\r\n" );
document.write( "\"11x=22\"\r\n" );
document.write( "\"x=2\"\r\n" );
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document.write( "Now you just have this simple system:\r\n" );
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document.write( "\"system%28-9x%2B7y=-11%2Cx=2%29\"\r\n" );
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document.write( "and I'll bet you can finish that by yourself, just by\r\n" );
document.write( "substituting back\r\n" );
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document.write( "Answer x=2, y=1, z=-1 \r\n" );
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document.write( "Edwin
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