document.write( "Question 907663: Solve this system of equations:\r
\n" ); document.write( "\n" ); document.write( "6x+2y+4z=2
\n" ); document.write( "3x+4y-8z=-3
\n" ); document.write( "-3x-6y+12z=5
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Algebra.Com's Answer #550479 by mananth(16946)\"\" \"About 
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6 x + 4 y + 2 z = 2 --------------1
\n" ); document.write( "3 x + 4 y -8 z = -3 --------------2
\n" ); document.write( "-3 x + -6 y + 12 z = 5 --------------3
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\n" ); document.write( "consider equation 1 &2 Eliminate y
\n" ); document.write( "Multiply 1 by -1 -5
\n" ); document.write( "Multiply 2 by 1 4
\n" ); document.write( "we get
\n" ); document.write( "-6 x + -4 y + -2 z = -2
\n" ); document.write( "3 x + 4 y + -8 z = -3
\n" ); document.write( "Add the two
\n" ); document.write( "-3 x + 0 y + -10 z = -5 ------------- 4
\n" ); document.write( "consider equation 2 & 3 Eliminate y
\n" ); document.write( "Multiply 2 by 3
\n" ); document.write( "Multiply 3 by 2
\n" ); document.write( "we get
\n" ); document.write( "9 x + 12 y + -24 z = -9
\n" ); document.write( "-6 x + -12 y + 24 z = 10
\n" ); document.write( "Add the two
\n" ); document.write( "3 x + 0 y + 0 z = 1 -------------5 5
\n" ); document.write( "Consider (4) & (5) Eliminate x
\n" ); document.write( "Multiply 4 by 1
\n" ); document.write( "Multiply (5) by 1
\n" ); document.write( "we get
\n" ); document.write( "-3 x + -10 z = -5
\n" ); document.write( "3 x + 0 z = 1
\n" ); document.write( "Add the two
\n" ); document.write( "0 x + -10 z = -4
\n" ); document.write( "/ -10
\n" ); document.write( "z = 2/ 5
\n" ); document.write( "3 x + 0 z= 1
\n" ); document.write( "3 x + 0 = 1
\n" ); document.write( " x = 1/ 3
\n" ); document.write( "Plug x & z in eq (1)
\n" ); document.write( "6 x + 4 y + 2 z = 2 --------------
\n" ); document.write( " 2 + 4 y + 4/ 5 = 2
\n" ); document.write( " 4 y = - 4/ 5
\n" ); document.write( " y = - 1/ 5
\n" ); document.write( " x= 1/ 3 y= - 1/ 5 z= 2/ 5
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