---
tags: [algebra]
---

- **Variable**
  - A symbol that stands for a value which may vary
- **Equation**
  - A mathematical statement that equates two mathematical expressions (states
    that they are the same/ establishes an identity relation)
- **Solution** ^678811
  - A numerical value that **satisfies** an equation. When the variable in the
    equation is replaced by the solution, a true statement results

### Example

$$ 4 = y - 11 $$

The example above is an **equation**. $y$ is the variable. This can be replaced
by $15$ which is the **solution** to the equation:

$$ 4 = 15 -11 $$
