document.write( "Question 1027945: Please help me solve the following for x, y, and z. and please show the work.\r
\n" ); document.write( "\n" ); document.write( "3x+2y+z=8
\n" ); document.write( "2x-3y+2z=-16
\n" ); document.write( "x+4y-z=20
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Algebra.Com's Answer #643117 by mananth(16946)\"\" \"About 
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By elimination method\r
\n" ); document.write( "\n" ); document.write( "3 x + 2 y + 1 z = 8 -------------- 1
\n" ); document.write( "2 x + -3 y 2 z = -16 -------------- 2
\n" ); document.write( "1 x + 4 y + -1 z 20 -------------- 3
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\n" ); document.write( "consider equation 1 &2 Eliminate y
\n" ); document.write( "Multiply 1 by 3 -5
\n" ); document.write( "Multiply 2 by 2 4
\n" ); document.write( "we get
\n" ); document.write( "9 x + 6 y + 3 z = 24
\n" ); document.write( "4 x + -6 y + 4 z = -32
\n" ); document.write( "Add the two
\n" ); document.write( "13 x + 0 y + 7 z = -8 ------------- 4
\n" ); document.write( "consider equation 2 & 3 Eliminate y
\n" ); document.write( "Multiply 2 by 4
\n" ); document.write( "Multiply 3 by 3
\n" ); document.write( "we get
\n" ); document.write( "8 x + -12 y + 8 z = -64
\n" ); document.write( "3 x + 12 y + -3 z = 60
\n" ); document.write( "Add the two
\n" ); document.write( "11 x + 0 y + 5 z = -4 -------------5 5
\n" ); document.write( "Consider (4) & (5) Eliminate x
\n" ); document.write( "Multiply 4 by -11
\n" ); document.write( "Multiply (5) by 13
\n" ); document.write( "we get
\n" ); document.write( "-143 x + -77 z = 88
\n" ); document.write( "143 x + 65 z = -52
\n" ); document.write( "Add the two
\n" ); document.write( "0 x + -12 z = 36
\n" ); document.write( "/ -12
\n" ); document.write( "z = -3
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\n" ); document.write( "Plug the value of z in (5)
\n" ); document.write( "11 x + 5 z = -4
\n" ); document.write( "11 x = 11
\n" ); document.write( "x = 1
\n" ); document.write( "x=1, z=-3\r
\n" ); document.write( "\n" ); document.write( "Plug the values to get y\r
\n" ); document.write( "\n" ); document.write( "y=4
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