The system of equations that models this situation is:
4*L + 8*M = 40
5*L + 2*M = 28
First, we define the variables:
Now we know that:
The cost of 4 large plants and 8 medium plants is $40, then:
4*L + 8*M = 40
The cost of 5 large plants and 2 medium plants is $28.
5*L + 2*M = $28
Then the system of equations that model the given situation is just:
4*L + 8*M = 40
5*L + 2*M = 28
If you want to learn more about systems of equations:
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