Solve the System for X and Y Using Cramer's Rule $\begin{array} { l } a x + y = \frac { 1 } { a } \\b x + y = \frac { 1 } { b }\end{array}$

question 248

Multiple Choice

Solve the system for x and y using Cramer's rule. Assume a and b are nonzero constants.
$\begin{array} { l } a x + y = \frac { 1 } { a } \\b x + y = \frac { 1 } { b }\end{array}$

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

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Definitions:

Voltage

The electrical potential difference between two points in a circuit, driving the flow of current.

Horsepower

A measure of power for electric and mechanical devices.

Electrical Power

The rate at which electrical energy is transferred by an electric circuit, typically measured in watts (W).

Velocity

Velocity is a vector quantity that represents the rate of change of an object's position with respect to time, including both speed and direction of movement.