Understanding Equations
Equations are the foundation of mathematics, representing the equality between two expressions. They are used to solve various problems by finding the unknown values. Let's dive into some basic examples:
Example 1: Simple Equation
Consider the equation x + 3 = 7. To solve for x, you need to isolate it on one side of the equation:
- Subtract 3 from both sides: x = 7 - 3
- Thus, x = 4
Example 2: Two-Step Equation
Now take the equation 2x - 5 = 9:
- Add 5 to both sides: 2x = 14
- Divide both sides by 2: x = 7
Practice Your Skills
Try solving this equation on your own: