1. The problem asks if the equation $\frac{x}{5} = 46$ is a linear equation. 2. A linear equation in one variable is an equation that can be written in the form $ax + b = 0$, where $a$ and $b$ are constants and $a \neq 0$. 3. Starting with the given equation: $$\frac{x}{5} = 46$$ 4. Multiply both sides by 5 to isolate $x$: $$\cancel{5} \times \frac{x}{\cancel{5}} = 46 \times 5$$ $$x = 230$$ 5. This can be rewritten as: $$x - 230 = 0$$ 6. This matches the form $ax + b = 0$ with $a = 1$ and $b = -230$, which confirms it is a linear equation. 7. Therefore, $\frac{x}{5} = 46$ is a linear equation because it can be simplified to a form where $x$ is to the first power and there are no products or powers of $x$ other than 1. Final answer: Yes, $\frac{x}{5} = 46$ is a linear equation.