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The Following System Does Not Have a Unique Solution {xy+3z=8x+5y+z=405x+y+13z=10\left\{ \begin{array} { r } x - y + 3 z = - 8 \\x + 5 y + z = 40 \\5 x + y + 13 z = 10\end{array} \right.

Question 76

Multiple Choice

The following system does not have a unique solution. Solve the system.
- {xy+3z=8x+5y+z=405x+y+13z=10\left\{ \begin{array} { r } x - y + 3 z = - 8 \\x + 5 y + z = 40 \\5 x + y + 13 z = 10\end{array} \right.


A) x=4+z,y=182z,z=zx = 4 + z , y = - 18 - 2 z , z = z
B) x=0,y=1,z=3x = 0 , y = - 1 , z = - 3
C) inconsistent system, no solution
D) x=0,y=1,z=3x = 0 , y = 1 , z = - 3

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