The values of x = 1/4 and y = 12, from the given information using the Cramer's Rule. Hence, option C is the right choice.
What is Cramer's Rule?
One technique for solving a system of equations is Cramer's rule. Determinants are involved in this rule. Hence, determinants are used to determine the values of the system's variables.
How to solve the question?
In the question, we are asked to find the values of x and y using the provided information.
By Cramer's Rule, we know that [tex]x = \frac{|A_x|}{|A|}[/tex] and [tex]y = \frac{|A_y|}{|A|}[/tex].
So, first we solve:
|A| = (1/2 * (-3)) - (1/4 * 9) = -3/2 - 9/4 = -15/4.
|Aₓ| = (5 * (-3)) - (1/4 * 0) = -15 - 0 = -15.
|[tex]A_y[/tex]| = (1/2 * 0) - (5*9) = 0 - 45 = -45.
Thus,
[tex]x = \frac{|A_x|}{|A|}[/tex],
or, x = (-15/4)/(-15) = 1/4.
[tex]y = \frac{|A_y|}{|A|}[/tex],
or, y = (-45)/(-15/4) = 12.
Thus, the values of x = 1/4 and y = 12, from the given information using the Cramer's Rule. Hence, option C is the right choice.
Learn more about the Cramer's Rule at
https://brainly.com/question/28003332
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