Question

two solutions of 5y=6x

Answer 1

Hey there !!

We have

5 y = 6 x

putting x = 1 and 5

Then , 5y = 6 ( 1 )

y = 6 /5

And 5y = 6 ( 5)

y = 6

so Two solutions are , ( 1 , 6 / 5) and ( 5 , 6 )

Hope this would help you !!

Answer 2

Heya User,

--> We have our lines :-> 5y = 6x

--> So, 5y = 6x = lcm(5,6)k 
=> 5y = 6x = 30k <-- Assume
=> y = 6k || x = 5k is the soln.

So, for k = 1, ( x , y ) ≡ ( 5 ,  6 )
--> for k = 2 , ( x , y ) ≡ ( 10 , 12 )

Hence, ( 5 , 6 ) and ( 10 , 12 ) is the two integral soln.
However, ( x , y ) = ( 5k , 6k ) ∀ k ∈ Z <--- is the generalized integral soln.

Hope you're satisfied..