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

question 87

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.
- $$\begin{array}{l}3 x-6 y=-3 \\6 x-12 y=-9\end{array}$$

• A) No inverse, no solution for system
• B) \( (2,2) \)
• C) \( (-3,-9) \)
• D) No inverse, \( \left(-1-\frac{1}{2} y, y\right) \)

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Definitions:

Cytosine

One of the four main nucleobases found in DNA and RNA, which pairs with guanine.

Guanine

One of the four main nucleobases found in the nucleic acids DNA and RNA.

Sex Chromosome Pattern

The configuration of sex chromosomes (XX for females, XY for males) that determines an individual's genetic sex.

Females

The sex of an organism, or a part of an organism, that produces non-motile ova (egg cells) and can typically bear offspring.