1. Let's start with the basics of algebra. Algebra is a branch of mathematics that uses symbols, usually letters, to represent numbers and express mathematical relationships.
2. A common algebraic expression looks like $ax + b = c$, where $a$, $b$, and $c$ are numbers, and $x$ is the variable we want to solve for.
3. The goal is to find the value of $x$ that makes the equation true.
4. To solve $ax + b = c$, we use the following steps:
- Subtract $b$ from both sides: $ax = c - b$
- Divide both sides by $a$: $x = \frac{c - b}{a}$
5. Important rules:
- You can add, subtract, multiply, or divide both sides of an equation by the same number (except division by zero).
- Variables represent unknown values.
6. Example: Solve $2x + 3 = 7$
- Subtract 3: $2x = 7 - 3 = 4$
- Divide by 2: $x = \frac{4}{2} = 2$
7. So, $x = 2$ is the solution.
This is the foundation of algebra. Would you like to try a problem or learn about expressions and equations next?
Algebra Basics C6A7Eb
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