SOLUTION: solve the following system of equations by using the inverse of the coefficient matrix. x+2y=6 -4x+4y=24

Algebra ->  Matrices-and-determiminant -> SOLUTION: solve the following system of equations by using the inverse of the coefficient matrix. x+2y=6 -4x+4y=24      Log On


   



Question 788950: solve the following system of equations by using the inverse of the coefficient matrix.
x+2y=6
-4x+4y=24

Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
A=[[1 2] [ -4 4]]
inv(A)= [[1/3 -1/6] [ 1/3 1/12]]

[[x] [y]] =
inv(A) [[6] [24]] =
[[1/3 -1/6] [ 1/3 1/12][[6] [24]] =
[[-2] [4]]