document.write( "Question 908138: 3x-5y+z=10
\n" ); document.write( "2x+2y-z=12
\n" ); document.write( "5x+3y-2z=15 \n" ); document.write( "

Algebra.Com's Answer #550840 by mananth(16946) $\"\"$ $\"About$

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3 x + -5 y + z = 10 -------------- 1
\n" ); document.write( "2 x + 2 y - z = 12 -------------- 2
\n" ); document.write( "5 x + 3 y + -2 z = 15 -------------- 3
\n" ); document.write( "
\n" ); document.write( "consider equation 1 &2 Eliminate y
\n" ); document.write( "Multiply 1 by 2 -5
\n" ); document.write( "Multiply 2 by 5 4
\n" ); document.write( "we get
\n" ); document.write( "6 x + -10 y + 2 z = 20
\n" ); document.write( "10 x + 10 y + -5 z = 60
\n" ); document.write( "Add the two
\n" ); document.write( "16 x + 0 y + -3 z = 80 ------------- 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( "6 x + 6 y + -3 z = 36
\n" ); document.write( "10 x + 6 y + -4 z = 30
\n" ); document.write( "Add the two
\n" ); document.write( "16 x + 12 y + -7 z = 66 -------------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( "16 x + -3 z = 80
\n" ); document.write( "-16 x + 7 z = -66
\n" ); document.write( "Add the two
\n" ); document.write( " 4 z = 14
\n" ); document.write( "/ 4
\n" ); document.write( "z = 3 1/ 2
\n" ); document.write( "16 x -7 z= 66
\n" ); document.write( "16 x -24 1/ 2 = 66
\n" ); document.write( " x = 5 21/32
\n" ); document.write( "Plug x & z in eq (1)
\n" ); document.write( "3x-5y +z=10 --------------1
\n" ); document.write( "16 31/32-5y + 3 1/ 2 = 10
\n" ); document.write( "-5y= -10 15/32
\n" ); document.write( "y =2 3/32
\n" ); document.write( " x= 5 21/32 y= 2 3/32 z= 3 1/ 2
\n" ); document.write( " \n" ); document.write( "

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