Set up the system of equations (3 equations total) with 3 variables (x,y,z) Define each variable....?

I dont want this to be solved, simply give me the 3 variables and the three equations, I can do the rest. Here is the problem:





A person takes three daily vitamin supplements, B,C and E, via three types of pills, regular, extra-strength, and fortified. Each regular pill contains 10 units of B, 20 units of C, and 20 units of E. Each extra-strength pill contains 20 units of B, 60 units of C, and 10 units of E. Each fortified pill contains 10 units of B, 20 units of C, and 40 units of E. HOW MANY PILLS of each type should be taken, in order to achied 50 units of B, 120 units of C, and 90 units of E.


Thank you very much!!!!!

Set up the system of equations (3 equations total) with 3 variables (x,y,z) Define each variable....?
Let x = number of regular pills


y = number of extra-strength pills


z = number of fortified pills





Then write an equation using the totals of 50, 120 and 90 for each vitamin:





10x + 20y + 10z = 50


20x + 60y + 20z = 120


20x + 10y + 40z = 90

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