1. The problem is to solve an equation using the inverse method or the direct method. 2. Let's suppose the equation is $ax = b$ where $a$ and $b$ are known constants and $x$ is the variable we need to find. 3. Using the inverse method, we multiply both sides of the equation by the inverse of $a$, which is $\frac{1}{a}$, to isolate $x$: $$x = \frac{1}{a} \times b = \frac{b}{a}$$ 4. Using the direct method, we can directly divide both sides by $a$: $$x = \frac{b}{a}$$ 5. Both methods arrive at the same solution, provided $a \neq 0$. 6. Therefore, the solution for $x$ is $$x = \frac{b}{a}$$.