Question

Using Cramer's Rule, what are the values of x and y in the solutio

-2x+3y+Z = 7
-4x-y-2z = 15
X+ 2y + 3z=-7
x=-3, y=1
0
X = 1, y=-3

Answer 1

x = -3, y = 1

Explanation:

To find the value of x and y, find the determinant of original matrix, which would be 21.

Then, substitute the value of x with the solutions to the equations and find the determinant of that matrix, which is -63.

Cramer's rule says that Dx ÷ D is the value of x. So, -63 ÷ 21 = -3.

So, the x-value is -3.

You can find the determinant of the y-value in the same way, and you'll find out that y = 1.

Hope this helped! :)