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Use proof by contradiction to show that there exist no integers a and b for which
25a + 15b = 1.

 Jul 11, 2022
 #1
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Let's suppose that such integers exist.....we can write

 

5 ( 5a + 3b)  =  1

 

(5a + 3b)  =   1  / 5

 

But  (5a + 3b)   must be an integer, not a fraction

 

So......no such integers exist

 

 

cool cool cool

 Jul 11, 2022

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