document.write( "Question 916973: 4x+y+3z=11
\n" ); document.write( "2x-3y+2z=9
\n" ); document.write( "x+y+z=-3 \n" ); document.write( "

Algebra.Com's Answer #556440 by mananth(16946) $\"\"$ $\"About$

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4 x + 1 y + 3 z = 11 -------------- 1
\n" ); document.write( "2 x -3 y 2 z = 9 -------------- 2
\n" ); document.write( "1 x + 1 y + 1 z = -3 -------------- 3
\n" ); document.write( "
\n" ); document.write( "consider equation 1 &2 Eliminate y
\n" ); document.write( "Multiply 1 by 3 -5
\n" ); document.write( "Multiply 2 by 1 4
\n" ); document.write( "we get
\n" ); document.write( "12 x + 3 y + 9 z = 33
\n" ); document.write( "2 x -3 y + 2 z = 9
\n" ); document.write( "Add the two
\n" ); document.write( "14 x 0 y + 11 z = 42 ------------- 4
\n" ); document.write( "consider equation 2 & 3 Eliminate y
\n" ); document.write( "Multiply 2 by 1
\n" ); document.write( "Multiply 3 by 3
\n" ); document.write( "we get
\n" ); document.write( "2 x -3 y + 2 z = 9
\n" ); document.write( "3 x + 3 y + 3 z = -9
\n" ); document.write( "Add the two
\n" ); document.write( "5 x + 0 y + 5 z = 0 -------------5 5
\n" ); document.write( "Consider (4) & (5) Eliminate x
\n" ); document.write( "Multiply 4 by -5
\n" ); document.write( "Multiply (5) by 14
\n" ); document.write( "we get
\n" ); document.write( "-70 x -55 z = -210
\n" ); document.write( "70 x + 70 z = 0
\n" ); document.write( "Add the two
\n" ); document.write( "0 x + 15 z = -210
\n" ); document.write( "/ 15
\n" ); document.write( "z = -14
\n" ); document.write( "5 x + 5 z= 0
\n" ); document.write( "5 x + -70 = 0
\n" ); document.write( " x = 14
\n" ); document.write( "Plug x & z in eq (1)
\n" ); document.write( "4 x + 1 y + 3 z = 11 -------------- 1
\n" ); document.write( " 56 + 1 y -42 = 11
\n" ); document.write( " 1 y = -3
\n" ); document.write( " y = -3
\n" ); document.write( " x= 14 y= -3 z= -14
\n" ); document.write( " \n" ); document.write( "

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