Which determinants can be used to solve for x and y in the system of linear equations below?
2 answers:
Are there choices? If there are, you should list them because there are some equivalents.
![\left[\begin{array}{cc}4&16\\12&3\end{array}\right] \\ \left[\begin{array}{cc}-68&16\\21&3\end{array}\right] = x \\ \left[\begin{array}{cc}4&-68\\12&21\end{array}\right] = y \\](https://tex.z-dn.net/?f=%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D4%2616%5C%5C12%263%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-68%2616%5C%5C21%263%5Cend%7Barray%7D%5Cright%5D%20%3D%20x%20%5C%5C%20%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D4%26-68%5C%5C12%2621%5Cend%7Barray%7D%5Cright%5D%20%3D%20y%20%5C%5C%20)
I'm assuming that you can solve these things. The top determinant comes to -180. The x value comes to - 540. When divided by the top one x = 3
The bottom determinant (y) comes to 900 and when divided by - 180 makes y = - 5. The checks out with actually solving the system of equations some other way.
I'm assuming that you can solve these things. The top determinant comes to -180. The x value comes to - 540. When divided by the top one x = 3
The bottom determinant (y) comes to 900 and when divided by - 180 makes y = - 5. The checks out with actually solving the system of equations some other way.
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