Answer:
L= 15.75 kg
S=6.5 kg
Step-by-step explanation:
Let L be the weight of a large box and S be the weight of a small box. So we can set up two equations:
2L + 3S = 51
6L + 5S = 127
Solve for L or S in one of the equations and substitute it into the other equation and find the other unknown.
2L = 51 - 3S
L = (51 - 3S)/2
6(51 - 3S)/2 + 5S = 197
153 − 9 S + 5 S = 127
− 4 S = − 26
S = 6.5 kg
L = (51 - 3(6.5))/2 = 15.75 kg
Plug them in to the original equations to see if they work.
