Alaw firm is going to designate associates and partners to a big new case. the daily rate charged to the client for each associate is $800 and the daily rate for each partner is $1300. the law firm assigned 3 more partners than associates to the case and was able to charge the client $12300 per day for these lawyers services write a system of equations that could be used to determine the number of associate assigned to the case and the number of partners assigned to the case. define the variables that you use to write the system

The system of equations used to determine x and y is -x + y = 3 and 800x + 1300y = 12300.

Let x represent the number of associate and y represent the number of partners.

The law firm assigned 3 more partners than associates to the case, hence:

y = x + 3

-x + y = 3    (1)

The charge per day is $12300, hence:

800x + 1300y = 12300    (2)

Hence solving equation 1 and 2 simultaneously gives x = 4, y = 7

Hence the system of equations used to determine x and y is -x + y = 3 and 800x + 1300y = 12300.

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