SOLUTION: Solve the system using Cramer's rule, if possible. x - 2y + 3z = 11 4x + y - z = 4 2x - y + 3z = 10 Please help by showing steps. I am unsure of how to set this up

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Question 965592: Solve the system using Cramer's rule, if possible.
x - 2y + 3z = 11
4x + y - z = 4
2x - y + 3z = 10
Please help by showing steps. I am unsure of how to set this up. Thank yoU!
Answer by hkwu(60) (Show Source):
You can put this solution on YOUR website!
First, write down the augmented matrix. Then, you can use Cramer's Rule to determine the values of the entries , and . Recall that Cramer's Rule states that the value of is equal to the determinant of divided by the determinant of (where is the matrix formed from the coefficient matrix , but with the -th column replaced by the vector ).
In this case, we have that

and

Thus, it's simple calculation from here.
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