SOLUTION: Alex took clothes to the cleaners three times last month.​ First, he brought 2 shirts and 2 pairs of slacks and paid ​$11.96. Then he brought 6 ​shirts, 3 pairs of​ slacks,

Algebra ->  Finance -> SOLUTION: Alex took clothes to the cleaners three times last month.​ First, he brought 2 shirts and 2 pairs of slacks and paid ​$11.96. Then he brought 6 ​shirts, 3 pairs of​ slacks,      Log On


   

Question 1146770: Alex took clothes to the cleaners three times last month.​ First, he brought 2 shirts and 2 pairs of slacks and paid ​$11.96. Then he brought 6 ​shirts, 3 pairs of​ slacks, and 2 sports coats and paid ​$35.39. ​Finally, he brought 5 shirts and 2 sports coats and paid ​$20.43. How much was he charged for each​ shirt, each pair of​ slacks, and each sports​ coat?
Answer by ikleyn(52898) About Me  (Show Source):
You can put this solution on YOUR website!
.
Let x = for each shirt;

    y = for each pair of slacks,  and

    z = for each sport coat.


Then from the condition you have this set of 3 equations in 3 unknowns


    2x + 2y + 0z = 11.96          (1)

    6x + 3y + 2z = 35.39          (2)

    5x + 0y + 2z = 20.43.         (3)



It can be solved using Substitution, or Elimination, or determinants (the Cramer's rule).



Or, if you are a lazy person, you may use online (free of charge) solver 

http://matrix.reshish.com