+129899 We have more variables than equations....therefore.....there will be infinite answers for this
The positive integers that satisfy this are :
p = 34, q = 8, r = 31, s = 8
+194 Thanks! But I'm kind of confused. . . what do you mean since there's more variables than equations there will be infinite soultions?
Please don't take this the wrong way, I don't doubt that it's correct, I'm just wondering why :)
Have a chill good day! (darn I did it again. . . )
This is a homework problem in an online course so I don't want to add anything too useful. However, I'm a big fan of CPhill. You have an extensive understanding of math, so I trust you know Diophantine Equations. There may be infinite answers in R, but not in Z+. Happy solving! 
+33661 This was asked and answered here: https://web2.0calc.com/questions/how-do-i-solve-this_22#r2
+194 I'm so sorry! I didn't know it was asked already. Thanks for pointing that out. Have a good day!
