document.write( "Question 212741This question is from textbook
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Algebra.Com's Answer #160686 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
\"system%282x+%2B+y-z=5%2Cx%2B3y%2Bz=14%2C3x-y%2B2z=1%29\"
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document.write( "Solve for any letter in any equation.\r\n" );
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document.write( "I'll arbitrarily choose to solve the middle equation for z.\r\n" );
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document.write( "\"x%2B3y%2Bz=14\"\r\n" );
document.write( "\"z=14-x-3y\"\r\n" );
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document.write( "Now substitute \"%2814-x-3y%29\" for \"z\" in both\r\n" );
document.write( "the other two equations:\r\n" );
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document.write( "\"system%282x+%2B+y-z=5%2C3x-y%2B2z=1%29\"\r\n" );
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document.write( "so we get\r\n" );
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document.write( "\"system%282x+%2B+y-%2814-x-3y%29=5%2C3x-y%2B2%2814-x-3y%29=1%29\"\r\n" );
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document.write( "Then we simplify:\r\n" );
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document.write( "\"system%282x+%2B+y-14%2Bx%2B3y=5%2C3x-y%2B28-2x-6y%29=1%29\"\r\n" );
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document.write( "\"system%283x+%2B4y=19%2Cx-7y=-27%29\"\r\n" );
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document.write( "Now we have it down to 2 equations and 2 unknowns\r\n" );
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document.write( "We solve the 2nd one here for x:\r\n" );
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document.write( "\"x-7y=-27%29\"\r\n" );
document.write( "\"x=7y-27%29\"\r\n" );
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document.write( "Then we substitute \"%287y-27%29\" for \"x\" in the\r\n" );
document.write( "other equation:\r\n" );
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document.write( "\"3x+%2B4y=19\"\r\n" );
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document.write( "becomes:\r\n" );
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document.write( "\"3%287y-27%29%2B4y=19\"\r\n" );
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document.write( "Then we solve for y:\r\n" );
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document.write( "\"21y-81%2B4y=19%29\"\r\n" );
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document.write( "\"25y=100%29\"\r\n" );
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document.write( "\"y=4\"\r\n" );
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document.write( "Now we substitute \"%284%29\" for y in\r\n" );
document.write( "the equation above solved for x:\r\n" );
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document.write( "\"x-7y=-27%29\"\r\n" );
document.write( "\"x-7%284%29=-27%29\"\r\n" );
document.write( "\"x-28=-27%29\"\r\n" );
document.write( "\"x=1\"\r\n" );
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document.write( "Finally we substitute \"%284%29\" for y and\r\n" );
document.write( "\"%281%29\" for x in the equation above solved for z:\r\n" );
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document.write( "\"z=14-x-3y\"\r\n" );
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document.write( "\"z=14-%281%29-3%284%29\"\r\n" );
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document.write( "\"z=14-1-12\"\r\n" );
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document.write( "\"z=1\"\r\n" );
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document.write( "So the final solution is \"%22%28x%2Cy%2Cz%29%22=%22%281%2C4%2C1%29%22\"\r\n" );
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document.write( "Edwin
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