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

question 435

Multiple Choice

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

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

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Definitions:

Square Footage

A measure of area used primarily in the United States, equivalent to the area of a square with sides one foot in length.

P-value

A statistical measure indicating the probability of observing the given or more extreme outcome assuming the null hypothesis is true.

Population Mean

The average value of a characteristic in a population, calculated by summing the values for the characteristic among all individuals and dividing by the total number of individuals.

Null Hypothesis

A statement that asserts that there is no effect or no difference, and it serves as the starting point for statistical testing.