document.write( "Question 1196110: How do you solve the system of three linear equations using the elimination method which theses equations
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Algebra.Com's Answer #828811 by Edwin McCravy(20054)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"system%282x-4y%2B5z=-33%2C%0D%0A4x-y=-5%2C%0D%0A-2x%2B2y-3z=19%29\"\r\n" );
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document.write( "Since z is already eliminated from the 2nd equation,\r\n" );
document.write( "let's eliminate z from the 1st and 3rd equations:\r\n" );
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document.write( "Multiply the first equation by 3 and the 3rd equation by 5,\r\n" );
document.write( "so the coefficients of z will be alike with opposite signs:\r\n" );
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document.write( "Add the equations term by term and the 15z and the -15z will cancel:\r\n" );
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document.write( "\"-4x-2y=-4\"\r\n" );
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document.write( "Put that with the original 2nd equation:\r\n" );
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document.write( "\"system%28-4x-2y=-4%2Cmatrix%281%2C3%2C%22%22%2C%22%22%2C4x-y=-5%29%29+\"\r\n" );
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document.write( "Add those term by term, the 4x and the -4x will cancel:\r\n" );
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document.write( "\"-3y=-9%0D%0A%0D%0A%7B%7B%7By=3\"\r\n" );
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document.write( "Substitute 3 for y in \r\n" );
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document.write( "\"4x-y=-5\"\r\n" );
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document.write( "\"4x-3=-5\"\r\n" );
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document.write( "\"4x+=+-2\"\r\n" );
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document.write( "\"x=-1%2F2\"\r\n" );
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document.write( "Substitute -1/2 for x and 3 for y in 2x-4y+5z=-33\r\n" );
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document.write( "\"2x-4y%2B5z=-33\"\r\n" );
document.write( "\"2%28-1%2F2%29-4%283%29%2B5z=-33\"\r\n" );
document.write( "\"-1-12%2B5z=-33\"\r\n" );
document.write( "\"-13%2B5z=-33\"\r\n" );
document.write( "\"5z=-20\"\r\n" );
document.write( "\"z=-4\"\r\n" );
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document.write( "(x,y,z) = (-1/2,3,-4}}}\r\n" );
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document.write( "Edwin

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