For each of these three equations, determine whether there are any solution(s). If there are solutions, say what they are and show how you found them. If there aren't solutions, explain why not.

(a) x/3+x/4+ x/5 =2x/3 + 2x/4 + 2x/5

(b) y/3+y/4+ y/5 = y/3+ y/4+ y/5+1

(c) z/3+ z/4+ z/5 =z/4+z/5+ z/6+1

Question

For each of these three equations, determine whether there are any solution(s). If there are solutions, say what they are and show how you found them. If there aren't solutions, explain why not. 

(a)  x/3+x/4+ x/5 =2x/3 + 2x/4 + 2x/5 

(b)  y/3+y/4+ y/5 = y/3+ y/4+ y/5+1 

(c) z/3+ z/4+ z/5 =z/4+z/5+ z/6+1

tkhunny · Answer

You have some arithmetic in front of you.  Have at it.  A little work in Common Denominators, I'd say.