Question

Check how many possible solutions does x + y = 4 have, if x and y are natural numbers.

Answer 1

Given equations: x + y = 4
Also, x and y are natural number.
So, value of x, y starts from 1,2,3.....n.
Now,
x + y = 4
check (x, y) = (1,3)
Putting x equal to 1 and y equal to 3 we get,
1 + 3 = 4
4 = 4
True statement
So, the possible values are (1, 3).
check (x, y) = (2,2)
Putting x equal to 2 and y equal to 2 we get,
2 + 2 = 4
4 = 4
True statement
So, the possible values are (2, 2).
check (x, y) = (3, 1)
Putting x equal to 3 and y equal to 1 we get,
3 + 1 = 4
4 = 4
True statement
So, the possible values are (3, 1).
Therefore, there are 3 possible solutions of equations x + y = 4.