Solve the System for X and Y Using Cramer's Rule $$\begin{array} { l } a x + y = b \\x + b y = a\end{array}$$

question 421

Multiple Choice

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

• A) \(\left\{ \left[ \frac { a ^ { 2 } - b } { a b - 1 } , \frac { b ^ { 2 } - a } { a b - 1 } \right) \right\}\)
• B) \(\left\{ \left\{ \frac { a ^ { 2 } + b } { a b - 1 } , \frac { b ^ { 2 } + a } { a b - 1 } \right) \right\}\)
• C) \(\left\{ \left[ \frac { b ^ { 2 } - a } { a b - 1 } , \frac { a ^ { 2 } - b } { a b - 1 } \right) \right\}\)
• D) \(\left\{ \left( \frac { a b - 1 } { b ^ { 2 } - a } , \frac { a b - 1 } { a ^ { 2 } - b } \right) \right\}\)

---

Definitions:

Dollar Sales

The total revenue a company generates from sales, measured in dollars, over a specific period.

Margin of Safety

The difference between actual or expected sales and the break-even point, indicating the amount by which sales can drop before a company incurs losses.

Break-Even Sales

The amount of revenue required to cover total fixed and variable expenses during a specific period, resulting in no profit or loss.

Current Sales

The total sales revenue that a company generates in the present or most recent accounting period.