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Solve the given system algebraically.
X-y + 2z=0
4x+y=z=0
3x +2y-3z = 0

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Final answer:

To solve the given system of equations algebraically, follow these steps: eliminate the y variable, find x and y values, and solve for z.


Step-by-step explanation:

To solve the given system of equations:

  1. Start by adding the second and third equations together to eliminate the y variable.
  2. Substitute the value of y into the first and third equations to eliminate the y variable again.
  3. Substitute the found values of x and y into any of the three equations to find the value of z.

Therefore, the solution to the system is x = -1, y = -2, and z = -2.


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