Solve the System of Equations $$\left\{ \begin{aligned}2 x - y + 5 z & = - 7 \\x + y - 2 z & = - 2 \\x - y + 4 z & = 8\end{aligned} \right.$$

question 198

Multiple Choice

Solve the system of equations.
- $$\left\{ \begin{aligned}2 x - y + 5 z & = - 7 \\x + y - 2 z & = - 2 \\x - y + 4 z & = 8\end{aligned} \right.$$

• A) \(x = - 3 - z\)
• \(y = z - 3\)
• \(y = 3 z + 1\)
• \(z =\) any real number
• B) \(x = 3 z + 1\)
• \(y = z - 3\)
• \(z =\) any real number
• C) \(x = z + 3\)
• \(y = 3 z + 1\)
• \(z =\) any real number
• D) inconsistent (no solution)

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