Question

In natural numbers, $4x+5=-7$ has _____ solution.

Answer 1

Solve the given equation:

The given equation can be simplified as,

$4x+5=-7$

$\Rightarrow$ $4x=-7-5$

$\Rightarrow$ $4x=-12$

$\Rightarrow$ $x=\frac{-12}{4}$

$\Rightarrow$ $x=-3$

But, as we know, the set of natural numbers $\mathrm{\mathbb{N}}=\left\{1,2,3,4,5,...\right\}$

So, it is clear that $-3\notin \mathrm{\mathbb{N}}$

Hence, there is no solution of $4x+5=-7$ in natural numbers.