Solve the System of Equations by Using the Inverse of the Coefficient

question 109

Multiple Choice

Solve the system of equations by using the inverse of the coefficient matrix if it exists and by the echelon method if the
inverse doesn't exist.
- $$\begin{array}{l}-3 x+9 y=9 \\3 x+2 y=13\end{array}$$

• A) \( (3,2) \)
• B) \( (-3,-2) \)
• C) \( (-2,-3) \)
• D) \( (2,3) \)

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Definitions:

Organic Chemistry

The branch of chemistry concerned with the study of carbon-containing compounds, their reactions, and properties.

1-butanol

An alcohol with the formula C4H9OH, featuring a four-carbon chain with a hydroxyl group attached to the first carbon, used as a solvent and in chemical synthesis.

Compound

An entity produced through the chemical synthesis of several elements in constant ratios.

Mechanism

The detailed process or steps through which a chemical reaction occurs, explaining how reactants are transformed into products.