Question

Consider the system of linear equations and the matrix equations below.

- X+ 3y = 2
4x - 2y = 22
-1
3
Х
2
4
-2
22
What is the value of x in the equation?
-36
3
7
64

Answer 1

9514 1404 393

Answer:

x = 7

Explanation:

Using Cramer's rule, the value of x is ...

`x=\frac{\left|\begin{array}{cc}2&3\\22&-2\end{array}\right|}{\left|\begin{array}{cc}-1&3\\4&-2\end{array}\right|}`

x = ((2)(-2) -(22)(3))/((-1)(-2) -(4)(3)) = (-4-66)/(2-12) = -70/-10

x = 7