Solve the System of Equations $$\left\{ \begin{aligned}x - y + 4 z & = 2 \\5 x + z & = 0 \\x + 2 y + z & = - 4\end{aligned} \right.$$

question 228

Multiple Choice

Solve the system of equations.
- $$\left\{ \begin{aligned}x - y + 4 z & = 2 \\5 x + z & = 0 \\x + 2 y + z & = - 4\end{aligned} \right.$$

• A) \(x = 0 , y = 0 , z = - 2\)
• B) Inconsistent, \(\varnothing\)
• C) \(x = 0 , y = - 2 , z = 2\)
• D) \(x = 0 , y = - 2 , z = 0\)

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A curve depicting the maximum possible output of two goods or services that can be produced with a fixed set of resources and technology, assuming all resources are fully employed.

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