Algebra (how to solve )

Question

Hello in need help

In the following question I need to prove that there is no answer to the equation and what is the reason ?

(a+81)*x=1

I tried to solve this

a+81≠1

a≠-81

Answer 1

Simply put, you tried the impossible.

An unlimited number of solutions exist!

If "a" is the independent variable

(a + 81)x = 1

x = 1 / (a + 81)

If "x" is the independent variable

(a + 81)x = 1

a + 81 = 1 / x

a = -81 + (1 / x)