X-y + 3z = 9
X + 2z = 3
2x + 2y + z = 10

(35, -22, -16)

Step-by-step explanation:

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// Solve equation [3] for the variable  z  

 [3]    z = -2x - 2y + 10

// Plug this in for variable  z  in equation [1]

  [1]    x - y + 3•(-2x-2y+10) = 9

  [1]    -5x - 7y = -21

// Plug this in for variable  z  in equation [2]

  [2]    x + 2•(-2x-2?+10) = 3

  [2]    -3x = -17

// Solve equation [2] for the variable  ?  

 [2]    4? = -3x + 17

 [2]    ? = -3x/4 + 17/4

// Plug this in for variable  ?  in equation [1]

  [1]    -5x - 7•(-3x/4+17/4) = -21

  [1]    x/4 = 35/4

  [1]    x = 35

// Solve equation [1] for the variable  x  

  [1]    x = 35  

// By now we know this much :

   x = 35

   ? = -3x/4+17/4

   z = -2x-2?+10

// Use the  x  value to solve for  ?  

   ? = -(3/4)(35)+17/4 = -22  

// Use the  x  and  ?  values to solve for  z  

ANSWER:  z = -2(35)-2(-22)+10 = -16

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