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Find the Solution or Solutions, If Any Exist, to the System

Question 74

Multiple Choice

Find the solution or solutions, if any exist, to the system.
- {xy+3z=8x+5y+z=405x+y+13z=10\left\{ \begin{array} { c } x - y + 3 z = - 8 \\ x + 5 y + z = 40 \\ 5 x + y + 13 z = 10 \end{array} \right.


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

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