document.write( "Question 902030: use the gauss-Jordan method to solve for the following system of equations.
\n" ); document.write( "2x+9-z=0
\n" ); document.write( "3x-y+4z=1
\n" ); document.write( "5x+8y+3z=1 \n" ); document.write( "

Algebra.Com's Answer #547049 by mananth(16946) $\"\"$ $\"About$

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2 x + 9 y + -1 z = 0
\n" ); document.write( "3 x + -1 y 4 z = 1
\n" ); document.write( "4 x + 8 y + 3 z = 1
\n" ); document.write( "
\n" ); document.write( "consider equation 1 &2 Eliminate y
\n" ); document.write( "Multiply 1 by 1
\n" ); document.write( "Multiply 2 by 9
\n" ); document.write( "we get
\n" ); document.write( "2 x + 9 y + -1 z =
\n" ); document.write( "27 x + -9 y + 36 z =
\n" ); document.write( "Add the two
\n" ); document.write( "29 x + 0 y + 35 z =
\n" ); document.write( "consider equation 2 & 3 Eliminate y
\n" ); document.write( "Multiply 2 by 8
\n" ); document.write( "Multiply 3 by 1
\n" ); document.write( "we get
\n" ); document.write( "24 x + -8 y + 32 z = 8
\n" ); document.write( "4 x + 8 y + 3 z = 1
\n" ); document.write( "Add the two
\n" ); document.write( "28 x + 0 y + 35 z = 9
\n" ); document.write( "Consider (4) & (5) Eliminate x
\n" ); document.write( "Multiply 4 by -28
\n" ); document.write( "Multiply (5) by 29
\n" ); document.write( "we get
\n" ); document.write( "-812 x + -980 z = -252
\n" ); document.write( "812 x + 1015 z = 261
\n" ); document.write( "Add the two
\n" ); document.write( "0 x + 35 z = 9
\n" ); document.write( "/ 35
\n" ); document.write( "z = 9/35
\n" ); document.write( "28 x + 35 z= 9
\n" ); document.write( "28 x + 9 = 9
\n" ); document.write( " x = 0
\n" ); document.write( "Plug x & z in eq (1)
\n" ); document.write( "2 x + 9 y + -1 z = 0
\n" ); document.write( " 0 + 9 y + - 9/35 = 0
\n" ); document.write( " 9 y = 9/35
\n" ); document.write( " y = 1/35
\n" ); document.write( " x= 0 y= 1/35 z= 9/35
\n" ); document.write( " \n" ); document.write( "

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