Welcome to Aleksmatics! In this video, you will learn how to solve linear equations step by step. With clear example problems and detailed explanations, you'll master powerful algebraic techniques. Practice problems at the end will help you cement what you have learned and gain confidence in algebra.
Main Topic Covered
• What are linear equations?
- They are mathematical statements such as 3x - 2 = 7, showing that one expression equals another. In this example, 3x, -2, and 7 are called terms.
- They contain an unknown number, usually represented by x, y, or z.
• How to simplify linear equations
- Remove all brackets.
- Eliminate fractions by multiplying all terms by the lowest common denominator.
- Collect all terms with the variable on one side of the equation.
• How to solve linear equations
- Add the same number to or subtract the same number from both sides of the equation.
- Multiply or divide all terms on both sides of the equation by the same number.
Answers to the Practice Problems
• Problem 6: x = 21
• Problem 7: x = -5
30 сен 2024
