Question

One of the solutions of ax + by = 2 is
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Answer 1

Step-by-step explanation:

We can find as many as solutions we want to find using trial and error method.

so let x=1

substitute x in equation

a(1) + by=2

by = 2-a

y=(2-a)/b

so one of the solutions is

$(1 \: \: \frac{2 - a}{b} )$

If I take x as 1/a then

$a( \frac{1}{a} ) + b( y) = 2$

$1 + by = 2$

$by = 2 - 1 = 1$

$y = \frac{1}{b}$

so another solution is

$( \frac{1}{a} \: \: \: \: \: \: \: \frac{1}{b} )$

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