Solve the System of Equations $$\left\{ \begin{aligned}x + y + z & = 0 \\x - y + 4 z & = - 11 \\3 x + 3 y + 3 z & = 4\end{aligned} \right.$$

question 229

Multiple Choice

Solve the system of equations.
- $$\left\{ \begin{aligned}x + y + z & = 0 \\x - y + 4 z & = - 11 \\3 x + 3 y + 3 z & = 4\end{aligned} \right.$$

• A) \(x = - 3 , y = 1 , z = 2\)
• B) \(x = - 3 , y = 2 , z = 1\)
• C) \(x = 2 , y = 1 , z = - 3\)
• D) inconsistent (no solution)

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Definitions:

Argonites

A misspelling or incorrect term for aragonite, which is a carbonate mineral, one of the two most common, naturally occurring, crystal forms of calcium carbonate, CaCO3 (the other being calcite).

Carbonates

Rocks or minerals that contain abundant carbonate.

Element C

Element C refers to Carbon, a chemical element with symbol C and atomic number 6, essential to all known living systems and widely used in various scientific, industrial, and technological applications.

Calcite

A common mineral form of calcium carbonate, widely found in sedimentary, metamorphic, and igneous rocks.