document.write( "Question 873248: Find the value of z in the following system:\r
\n" ); document.write( "\n" ); document.write( "2x+4y +z= 6
\n" ); document.write( "x+3y+z= 4
\n" ); document.write( "2x-2y-z= 4 \n" ); document.write( "
Algebra.Com's Answer #526725 by mananth(16946)\"\" \"About 
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2 x + 4 y + 1 z = 6 -------------- 1
\n" ); document.write( "1 x + 3 y 1 z = 4 -------------- 2
\n" ); document.write( "2 x + -2 y + -1 z = 4 -------------- 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 4 4
\n" ); document.write( "we get
\n" ); document.write( "-6 x + -12 y + -3 z = -18
\n" ); document.write( "4 x + 12 y + 4 z = 16
\n" ); document.write( "Add the two
\n" ); document.write( "-2 x + 0 y + 1 z = -2 ------------- 4
\n" ); document.write( "consider equation 2 & 3 Eliminate y
\n" ); document.write( "Multiply 2 by 2
\n" ); document.write( "Multiply 3 by 3
\n" ); document.write( "we get
\n" ); document.write( "2 x + 6 y + 2 z = 8
\n" ); document.write( "6 x + -6 y + -3 z = 12
\n" ); document.write( "Add the two
\n" ); document.write( "8 x + 0 y + -1 z = 20 -------------5 5
\n" ); document.write( "Consider (4) & (5) Eliminate x
\n" ); document.write( "Multiply 4 by 4
\n" ); document.write( "Multiply (5) by 1
\n" ); document.write( "we get
\n" ); document.write( "-8 x + 4 z = -8
\n" ); document.write( "8 x + -1 z = 20
\n" ); document.write( "Add the two
\n" ); document.write( "0 x + 3 z = 12
\n" ); document.write( "/ 3
\n" ); document.write( "z = 4
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