Solve each system .If a system's equations are dependent or if there is no solution, state this . Please answer!

9514 1404 393

  (x, y, z) = (-8 2/7, -10, -7 3/7)

Step-by-step explanation:

A graphing calculator or matrix solver can find the solution easily. It is ...

  (x, y, z) = (-8 2/7, -10, -7 3/7)

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You can find y by subtracting the second equation from the third:

  (2x -y +z) -(2x -3y +z) = (-14) -(6)

  2y = -20

  y = -10

Putting this value into the first equation and either of the others gives ...

  x -3z = 14

  2x +z = -24

Subtracting twice the first of these from the second gives ...

  (2x +z) -2(x -3z) = (-24) -2(14)

  7z = -52

  z = -52/7 = -7 3/7

  x = 14 +3(-7 3/7) = -8 2/7

So, the solution is (x, y, z) = (-8 2/7, -10, -7 3/7).

Step-by-step explanation:

No Solution!

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step-by-step explanation: