Question
$$\frac{x}{x}-1 = 0$$
Answer
The equation has an infinite number of solutions.
Explanation
$$ \begin{aligned} \frac{x}{x}-1 &= 0&& \text{multiply ALL terms by } \color{blue}{ x }. \\[1 em]x \cdot \frac{x}{x}-x\cdot1 &= x\cdot0&& \text{cancel out the denominators} \\[1 em]x-x &= 0&& \text{simplify left side} \\[1 em]x-x &= 0&& \\[1 em]0 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{blue}{ 0 = 0 } $ is TRUE for any value of $ x $, we conclude that the equation has infinitely many solutions.
This page was created using
Equations Solver