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.
- $\left\{ \begin{array} { c } x - y + 3 z = - 8 \\ x + 5 y + z = 40 \\ 5 x + y + 13 z = 10 \end{array} \right.$

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

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