Question

how to know number of pairs of (x,y,z)/x,y,z blng to natural numbers in x+2y+3z=10

Answer 1

well i'll start by consider limits for variables for example \(z<3\) do u know why?

Answer 2

Also, y<=3

Answer 3

AND, x<=5

Answer 4

x,y,z are all natural numbers........... so the lowest value that y and z can have is 1..........
so when y=z=1 then x=5

Answer 5

by connecting intercepts, we can form a representative plane to cull the points off of