Question

Help please? Will fan and medal

Answer 1

Winston pays $8 for a burger, an order of fries, and a soft drink. Tia buys 2 burgers and a soft drink for $10.50. George buys 2 orders of fries, a burger, and 2 soft drinks for $12. Let x, y, and z represent the cost of a burger, an order of fries, and a soft drink, respectively. If A is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, A^-1, and the solution matrix, X, of the system of equations.

I've already created the equations, I just need guidance
Winston: x+y+z = 8
Tia: 2x + z = 10.50
George: x + 2y + 2z = 12

Answer 2

If you have a graphing calculator, you can easily solve this by typing it as a matix and then using rref (Reduced Row-Echelon Form)

Answer 3

I don't have one at the moment :/

Answer 4

What would this look like in matrix form?

Answer 5

1 1 1 8
2 0 1 10.5
1 2 2 12
Basically the coefficents of the variables.

Answer 6

https://mathway.com/graph

Answer 7

free online graphing calculator

Answer 8

Reduced Row Echelon Form:

1 0 0 4
0 1 0 1.5
0 0 1 2.5

Answer 9

Here's an emulator: https://wabbit.codeplex.com/downloads/get/122222

Answer 10

Yes that's what you get.
x = 4
y = 1.5
z = 2.5

Answer 11

And the inverse is

2 0 -1
3 -1 -1
-4 1 2

Answer 12

Sorry I forgot how to find the inverse

Answer 13

It's alright, do you know anything about augmented matrices?