Identify a solution to this system of equations -4x+3y=23, x-y=-7
1 answer:
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Answer:
The cost of each juice boxes is $ 2
The cost of each hot dogs is $ 1 .
Step-by-step explanation:
Given as :
The amount which Bill pays for 3 juice boxes and 2 hot dogs = $ 8
The amount which Sarah pays for 2 juice boxes and 1 hot dogs = $ 5
Let The cost of each juice boxes = $ j
And The cost of each hot dogs = $ h
Now, According to question
3 j + 2 h = 8 .........A
2 j + 1 h = 5 ..........B
Now, solving the equations
2 × ( 2 j + 1 h ) = 2 × 5
or, 4 j + 2 h = 10
I.e ( 4 j + 2 h ) - ( 3 j + 2 h ) = 10 - 8
Or, ( 4 j - 3 j ) + ( 2 j - 2 h ) = 2
Or, j + 0 = 2
∴ j = 2
So , The cost of each juice boxes = j = $ 2
Now, Put the value of j in Eq A
I.e 3 × 2 + 2 h = 8
Or, 6 + 2 h = 8
Or. 2 h = 8 - 6
or, 2 h = 2
∴ h = = 1
So, The cost of each hot dogs = h = $ 1
Hence The cost of each juice boxes is $ 2
And The cost of each hot dogs is $ 1 . Answer