document.write( "Question 1052089: Systems of equations in three variables HELP!!
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Algebra.Com's Answer #667504 by ikleyn(52794) $\"\"$ $\"About$

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document.write( "a + b      =  3    (1)\r\n" );
document.write( "  - b +  c =  3    (2)\r\n" );
document.write( "a +     2c = 10    (3)\r\n" );
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document.write( "Add equations (1) and (2) (both sides). You will get\r\n" );
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document.write( "a + c = 6.         (4)\r\n" );
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document.write( "Distract equation (4) from the equation (3). You will get\r\n" );
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document.write( "c = 10-6 = 4.\r\n" );
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document.write( "So, you just found the solution for c:  c=4.\r\n" );
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document.write( "Substitute c=4 into equation (2). You will get\r\n" );
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document.write( "-b + 4 = 3.\r\n" );
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document.write( "Hence, b = 4-3 = 1.\r\n" );
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document.write( "Substitute b=1 into equation (1). You will get\r\n" );
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document.write( "a + 1 = 3.\r\n" );
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document.write( "Hence, a = 3-1 = 2.\r\n" );
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document.write( "Answer.  a=2, b=1, c=4.\r\n" );
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