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

question 295

Multiple Choice

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

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

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Definitions:

Common-Size Balance Sheet

A balance sheet where each line item is expressed as a percentage of total assets, facilitating comparison across periods or companies.

Balance Sheet

A financial statement that reflects the financial position of a company at a specific point in time, detailing assets, liabilities, and owners' equity.

Vertical Analysis

A method of financial statement analysis where each entry for a given period is presented as a proportion of a fixed line item.

Total Assets

The sum of all assets owned by a company, including cash, inventory, and property.