Question

if 10x-7y=13,find the value of x:y​

Answer 1

Answer:

x:y = 2:1

Step-by-step explanation:

given, 10x-7y=13

   => 10x = 13+7y

let us derive the probability of soln for x and y for this equation,

if taken , y  = 1, then, we have 10x = 13+7 = 20  => 10x=20 => x = 2

so, x=2 and y=1 is a solution

then, if y=11,  then 10x = 13+7(11) = 13+77 = 90 => 10x=90 => x = 9

so, x=9 and y=11 is another solution

and so, we can keep on finding the combinations of x and y.

let us take the smallest of the solutions,

ie., x=2 and y=1

=> x/y = 2/1

ie., in fractional form, x:y = 2:1