SOLUTION: Two students are planning to buy some cardboard boxed at bookstore, they can buy either 7 small boxes and 9 medium boxes for 50pesos, or 5 small boxed and 10 medium boxes for 33pes

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Question 996762: Two students are planning to buy some cardboard boxed at bookstore, they can buy either 7 small boxes and 9 medium boxes for 50pesos, or 5 small boxed and 10 medium boxes for 33pesos. Find the cost of each box
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
x = cost of a small box.
y = cost of a medium box.

7x + 9y = 50
5x + 10y = 33

you need to solve these two equations simultaneously.

you can graph these equations and look for the intersection.

the graph is shown below:

$$$

they intersect at the point (x,y) = (8.12,-.76).

since both x and y have to be positive, the solution is invalid.

you have no solution to this problem as given.