SOLUTION: Please help me solve this problem. Using inverse Matrix to Solve Linear System. 3x - 7y = -16 -2x + 4y =18 Thanks for your ti

Algebra ->  Matrices-and-determiminant -> SOLUTION: Please help me solve this problem. Using inverse Matrix to Solve Linear System. 3x - 7y = -16 -2x + 4y =18 Thanks for your ti      Log On


   

Question 18418: Please help me solve this problem. Using inverse Matrix to Solve Linear System.
3x - 7y = -16
-2x + 4y =18

Thanks for your time.
Kat
Answer by Alwayscheerful(414) About Me  (Show Source):
You can put this solution on YOUR website!
Put your equations into AX=B. Then solve for X!
HINT: X=A%5E-1+%2AB
So, this is inverse form.

Since you can't divide by matrices, you must take the inverse of the matrix, in other words, make it to the power of -1.

Then you can use your calculator to solve
The inverse of %28matrix%282%2C2%2C3%2C-7%2C-2%2C4%29%29is %28matrix%282%2C2%2C-2%2C-3.5%2C-1%2C-1.5%29%29
Then you multiply it with the 2x1 matrix
You should end up with %28matrix%282%2C1%2C-31%2C-11%29%29 as your final matrix.
Hope this helps!