Answer is $2.50
How to solve system of two equations:
First of all, we should get one variable in terms of other variable in one equation and substitute this variable in another equation. And solving that we get two variables value.
If you have two different equations with the same two unknowns in each, you can solve for both unknowns. There are three common methods for solving: addition/subtraction, substitution, and graphing.
Here,
let's consider price of hot dogs = x and price of hamburgers = y
then, 164x + 74y = $706 --- ( 1 )
and 256x + 61y = $884 --- ( 2 )
Now, from eq - 1 we get x = ($706 - 74y) / 164
Substitute this x value in eq - 2,
256($706 - 74y)/164 + 61y = $884
=> $706*256 - 74y*256 + 61y*164 = $884 * 164
=> 180,736-8940y = 144,976
=> 180,736 - 144,976 = 8940y
=> 35,760/8940 = y
=> y = $4.
By substituting in eq - (1) we get x = $2.5
So, The price of hot dog = $2.5
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