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Solve the following equation with three variables: 3x + 2y - z = 1 ...(1) x + 2y + z =...

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babyryan95 | (Level 1) Honors

Posted July 16, 2012 at 5:18 PM via web

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Solve the following equation with three variables:

3x + 2y - z = 1 ...(1)

x + 2y + z = 0 ...(2)

2x + y - 3z = - 1 ...(3)

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted July 16, 2012 at 6:20 PM (Answer #1)

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The set of equations to be solved is:

3x + 2y - z = 1 ...(1)

x + 2y + z = 0 ...(2)

2x + y - 3z = - 1 ...(3)

(1) - (2)

=> 2x - 2z = 1 ...(4)

(2) - 2*(3)

=> -3x + 7z = 2 ...(5)

3*(4) + 2*(5)

-6z + 14z = 7

=> z = 7/8

x = 11/8

y = -9/8

The solution of the set of equations is x = 11/8, y = -9/8 and z = 7/8

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