document.write( "Question 818979: I am trying to solve a system of equations with three variables.
\n" ); document.write( "6x-y+2z=-14
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\n" ); document.write( "2x+2y-3z=-11\r
\n" ); document.write( "\n" ); document.write( "I am new to algebra and have never done an equation with three variables. I know I am supposed to take two of the equations so that I can eliminate one variable, such as x, but I am unsure on which two I should choose. If anyone can help me solve this, and show me each step in doing so it would be appreciated. Thanks \n" ); document.write( "

Algebra.Com's Answer #492890 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!

 
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document.write( "Hi,
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document.write( "I.    6x-y+2z=-14
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document.write( "II.    x+2y-z=-2
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document.write( "III.  2x+2y-3z=-11 \r
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document.write( "I.    12x-2y+4z=-28  |Multiplying EQ I   by 2  & adding I an II to eliminate y
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document.write( "II.    x+2y-z=-2
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document.write( " A     
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document.write( "II.  -x-2y+z=2    |Multiplying EQ II  by -1 & adding II an III to eliminate y
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document.write( "III. 2x+2y-3z=-11 
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document.write( " B     \r
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document.write( "        
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document.write( "        |Multiplying EQ B  by -13
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document.write( "              29z = 87
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document.write( "                z = 3   and x = -3  and y = 2
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document.write( " 2x+2y-3z=-11 
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document.write( " -6 + 4 - 9 = -11  \n" );
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