1 91x 195y 25 2 91x 343y 28 In each of the following cas

(1) 91x + 195y = 25.

(2) 91x + 343y = 28.

In each of the following cases, find solutions x,y elementof Z to the given equation, explain why no such solution exists. 91x + 195y = 25. 91x + 343y = 28.

Solution

91x + 195y = 25.

91x + 343y = 28

----------------- (subtract)

-148y = -3

y = 3/148

91x = 25 -195y = 25 - 195(3/148)

= 3115/148

x = 3115/13468

Solution( x, y) = ( 3115/13468 , 3/148)