Solve the System for X and Y Using Cramerʹs Rule $$\begin{array} { l } a ^ { 2 } x + b ^ { 2 } y = a ^ { 2 } \\a x + b y = b\end{array}$$

question 39

Multiple Choice

Solve the system for x and y using Cramerʹs rule. Assume a and b are nonzero constants.
- $$\begin{array} { l } a ^ { 2 } x + b ^ { 2 } y = a ^ { 2 } \\a x + b y = b\end{array}$$

• A) \(\left\{ \left( \frac { a + b } { a } , \frac { a } { b } \right) \right\}\)
• B) \(\left\{ \left( \frac { a - b } { a } , - \frac { a } { b } \right) \right\}\)
• C) \(\left\{ \left( \frac { a + b } { a } , \frac { b - a } { b } \right) \right\}\)
• D) \(\left\{ \left( \frac { a + b } { a } , - \frac { a } { b } \right) \right\}\)

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Definitions:

Deoxyribonucleic Acid (DNA)

The molecule that carries genetic instructions for the development, functioning, growth, and reproduction of all living organisms and many viruses.

Cytosine

A pyrimidine base found in DNA and RNA that pairs with guanine.

Guanine

One of the four main nucleobases found in the nucleic acids DNA and RNA, pairing with cytosine in DNA and contributing to the genetic code.

Adenine

One of the four nucleobase molecules used to form the building blocks of DNA and RNA, pairing with thymine in DNA and uracil in RNA.