Question

in how many ways the number 7 by 15 can be written in the form X by 5 + y by 3
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Answer 1

Given : 7/15  = x/5   + y/3

To Find :  in how many ways it can be written

Solution:

7/15  = x/5   + y/3

Multiplying both sides by 15

=> 7  = 3x  + 5y

Linear Equation has infinite solutions

Few of the solutions are :

x             y

-6           5

-1            2

4            -1

9             -4

and so on

-6/5  + 5/3    = 7/15

-1/5  + 2/3   =  7/15

4/5  + -1/3  =  7/15

9/5  +   -4/3  = 7/15

Hence there are infinite ways

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