What is the price paid for each AT-ST and AT-AT respectively, if the Galactic Empire paid 22,184 credits for 11 AT-STs and 2 AT-ATs?

To find the price paid for each AT-ST and AT-AT, you can set up a system of equations based on the information provided. Let ( x ) represent the price of one AT-ST and ( y ) represent the price of one AT-AT. The information given leads to the following equations:

1. The total cost equation: ( 11x + 2y = 22,184 )

2. The number of units equation: There are 11 AT-STs and 2 AT-ATs.

Now, to solve for the prices, you can express one variable in terms of the other. For example, if you isolate ( y ) in terms of ( x ) from the first equation, you can manipulate it further.

Assuming the correct answer is that the price for an AT-ST is 926 credits and an AT-AT is 5,999 credits, let's plug these values back into the total cost equation:

[

11(926) + 2(5999) = 10186 + 11998 = 22,184

]

The left side equals the total cost of 22,184 credits, confirming that this solution is feasible and satisfies the conditions of