Solve the System, If Possible, by Using Cramer's Rule $$\begin{array} { l } - 6 x - 3 y = 2 \\- 12 x + 15 y = - 6\end{array}$$

question 131

Multiple Choice

Solve the system, if possible, by using Cramer's rule. If Cramer's rule does not apply, solve the system by
using another method.
- $$\begin{array} { l } - 6 x - 3 y = 2 \\- 12 x + 15 y = - 6\end{array}$$

• A){ }
• B) \(\left\{ \left( - \frac { 2 } { 21 } , - \frac { 10 } { 21 } \right) \right\}\)
• C) \(\left\{ \left( \frac { 2 } { 21 } , \frac { 10 } { 21 } \right) \right\}\)
• D) \(\left\{ \left( - \frac { 1 } { 3 } - \frac { 1 } { 2 } y , y \right) \mid y \right.\) is any real number \(\}\)

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Definitions:

Evaporite Minerals

Minerals formed by the evaporation of water, leaving behind salts and other soluble substances, common in arid environments or enclosed bodies of water.

Limestone

A sedimentary rock composed mainly of calcium carbonate, often formed from the remains of marine organisms.

Mineral Composition

The unique combination and arrangement of minerals within a rock, which determines the rock's characteristics and properties.

Sedimentary Rocks

Rocks formed by the accumulation or deposition of mineral or organic particles at the Earth's surface, followed by cementation.