Question

Each course at college X is worth either 4 or 5 credits. The members of the​ men's swim team are taking a total of 52 courses that are worth a total of 22 credits. How many ​4-credit courses and how many 5​-credit courses are being​ taken?

Answer 1

If there are x at 4 pts and y at 5 pts, we have

x+y=52
4x+5y=22

Sorry. 52 courses must add up to a lot more than 22 credits.

Fix the numbers and solve the equations.

Answer 2

number of 4-credit courses --- x
number of 5-credit courses --- y

x+y = 52
4x + 5y = 22

This has no positive x and y solutions.
Check your question or your typing

How can a total of 52 courses yield only 22 credits, unless they failed most of the courses ????
Even if courses were failed, no combination of whole number values of x and y will satisfy the equation
4x + 5y = 22