SOLUTION: How do you solve 3x+y=13, 2x-7y=24 by using the inverse matrix?

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Question 865694: How do you solve 3x+y=13, 2x-7y=24 by using the inverse matrix?
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
x = 5, y = -2
Your matrix
X1 X2 b
3 1 13
2 -7 24

X1 X2
3 1
2 -7
Determinant is not zero, therefore inverse matrix exists


X1 X2
7/23 1/23
2/23 -3/23
Multiply the inverse matrix by the solution vector
X
5
-2

Solution set:
x1 = 5 x2=-2