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Sagot :
The price of a hot dog is $2.5
How to solve a system of two equations?
First of all, we should obtain one variable in representations of another variable in one equation and substitute this variable in another equation. And solving that we bring two variables value. If you have two separate equations with identical two unknowns in each, you can solve for both unknowns. There are three common forms for solving: addition/subtraction, substitution, and graphing.
Here,
let's assume the price of hot dogs = x and the price of hamburgers = y
then, 164x + 74y = $706 --- ( 1 )
and 256x + 61y = $884 --- ( 2 )
Now, from eq - 1 we obtain 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 a hot dog is $2.5
To learn more about system of two equations refer to:
https://brainly.com/question/14502046
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