Question

Based on the information below, what are the values of x and y of the solution to the system of equations used to create the information?

Answer 1

Answer:

Option D) is correct

That is x=2 , y=-5

Step-by-step explanation:

Given that the $|A|=\left| \begin{array}{cc}4&-6\\ 8&-2\end{array}\right|, \left|A_x\right|=\left|\begin{array}{cc}38&-6\\ 28&-2\end{array}\right|, \left|A_y\right|=\left|\begin{array}{cc}4&38\\ 8&26\end{array}\right|$

To find their determinants

$|A|=\left| \begin{array}{cc}4&-6\\ 8&-2\end{array}\right|$

=-8+48

=40

Therefore $|A|=40$

$|A_x|=\left|\begin{array}{cc}38&-6\\ 28&-2\end{array}\right|$

=-76+156

=80

Therefore $|A_x|=80$

$|A_y|=\left|\begin{array}{cc}4&38\\ 8&26\end{array}\right|$

=104-304

=-200

Therefore $|A_y|=-200$

To find the values of x and y:

$x=\frac{|A_x|}{|A|}\ \textrm{and}\ y=\frac{|A_y|}{|A|}$

$x=\frac{80}{40}$ and $y=\frac{-200}{40}$

x=2 and y=-5

Option D) is correct

That is x=2 , y=-5

Answer 2

Answer:

x = -0.2, y = 0.5

Step-by-step explanation: