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Find the z-value of the solution. 3x-y-z=3 -2x+3y+z=-3 4x-2y-2z=2

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ljm3515 | Student, College Freshman | (Level 1) Valedictorian

Posted April 27, 2012 at 7:57 PM via web

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Find the z-value of the solution.

3x-y-z=3

-2x+3y+z=-3

4x-2y-2z=2

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted April 27, 2012 at 8:04 PM (Answer #1)

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The following system of equations has to be solved for the value of z.

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

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

4x-2y-2z=2 ...(3)

(1) + (3) + (2)

=> 5x - 2z = 2 ...(4)

(2) + 3*(1)

=> -2x + 3y + z + 9x - 3y - 3z = -3 + 9

=> 7x - 2z = 6 ...(5)

(4) - (5)

=> -2x = -4

=> x = 2

-2z = 2 - 10

=> z = 4

The value of z = 4

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