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

x = -0.2, y = 0.5

Explanation:

Answer 2

Option D) is correct

That is x=2 , y=-5

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=(|A_x|)/(|A|)\ \textrm{and}\ y=(|A_y|)/(|A|)`

`x=(80)/(40)` and
`y=(-200)/(40)`

x=2 and y=-5

Option D) is correct

That is x=2 , y=-5