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Answer :
The weight of each of the boxes are:
Large box = 15.75 kg
Small box = 18.75 kg
How to solve simultaneous Equations?
Let the weight of each large box be x
Let the weight of each small box be y.
Thus, if 5 large boxes and 3 small boxes have a total weight of 135 kilograms, then we have the equation:
5x + 3y = 135 -------(1)
Thus, if 7 large boxes and 9 small boxes have a total weight of 279 kilograms, then we have the equation:
7x + 9y = 279 ------(2)
Multiply eq 1 by 3 and eq 2 by 1 to get:
15x + 9y = 405 -----(3)
Subtract eq 2 from eq 3 to get:
8x = 126
x = 126/8
x = 15.75 kg
Thus:
5(15.75) + 3y = 135
3y = 135 - 78.75
3y = 56.25
y = 18.75 kg
Read more about Simultaneous Equations at: https://brainly.com/question/13729904
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