In the equation x+y=5x+y=5, the value for x is a whole number greater than 2 but less than 6. How do you determine the possible solutions for y?

1 Answer
Apr 8, 2017

y ∈ {0,1,2}y{0,1,2}

Explanation:

If 2< x <62<x<6 , it means that x ∈ {3,4,5}x{3,4,5}.

For x = 3
3+y=5 =>y = 23+y=5y=2
For x = 4
4+y=5 =>y = 14+y=5y=1
For x = 5
5+y=5 =>y = 05+y=5y=0

Therefore y ∈ {0,1,2}y{0,1,2}