SOLUTION: Hello, I'm needing some help on the following problem: Use matrices to solve each system of equations. If a system has no solution, so indicate. { 2x-3y=16 -4x+y=-22 tha

Algebra ->  Equations -> SOLUTION: Hello, I'm needing some help on the following problem: Use matrices to solve each system of equations. If a system has no solution, so indicate. { 2x-3y=16 -4x+y=-22 tha      Log On


   



Question 182155: Hello, I'm needing some help on the following problem:
Use matrices to solve each system of equations. If a system has no solution, so indicate.
{ 2x-3y=16
-4x+y=-22
thanks
H.C.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
2x-3y=16
-4x+y=-22

[A]=%28matrix%282%2C2%2C2%2C-3%2C-4%2C1%29%29
[x]=%28matrix%282%2C1%2Cx%2Cy%29%29
[b]=%28matrix%282%2C1%2C16%2C22%29%29
[A][x]=[b]
.
.
.
[A]inv=%28matrix%282%2C2%2C-0.1%2C-0.3%2C-0.4%2C-0.2%29%29
[x]=[A]inv[b]
.
.
.
[x]=%28matrix%282%2C2%2C-0.1%2C-0.3%2C-0.4%2C-0.2%29%29%2A%28matrix%282%2C1%2C16%2C22%29%29
[x]=%28matrix%282%2C1%2C-8.2%2C-10.8%29%29