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Solve the System of Equations {x+4y−z=3x+5y−2z=53x+12y−3z=9\left\{ \begin{array} { r } x + 4 y - z = 3 \\x + 5 y - 2 z = 5 \\3 x + 12 y - 3 z = 9\end{array} \right.

Question 63

Multiple Choice

Solve the system of equations.
- {x+4y−z=3x+5y−2z=53x+12y−3z=9\left\{ \begin{array} { r } x + 4 y - z = 3 \\x + 5 y - 2 z = 5 \\3 x + 12 y - 3 z = 9\end{array} \right.


A) x=3z+5x = 3 z + 5
y=z−2y = z - 2
z=z = any real number

B) x=−3z−5x = - 3 z - 5
y=z+2y = z + 2
z=z = any real number

C) x=z−2x = z - 2
y=−3z−5y = - 3 z - 5
z=z = any real number

D) inconsistent (no solution)

Correct Answer:

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