How to Solve Linear Equations in Algebra | Step by Step for Beginners

This tutorial focuses on solving one-step linear equations in algebra.

The main goal of this lesson is to calculate the value of the unknown variable, such as x, n, y, or a.

Key Techniques and Concepts Covered:

1. Using Opposite Operations (Addition and Subtraction): Learn the foundational rule: whatever you do to one side of the equation, you must do to the other. We solve equations involving addition (like x + 4 = 7) by subtracting both sides, and equations involving subtraction (like x - 3 = 9$) by adding both sides. We also review how to check your answer by plugging the calculated value back into the original expression.

2. The Division Property of Equality: Understand how to solve equations where the variable is multiplied by a coefficient (e.g., 3x = 12). We demonstrate dividing both sides of the equation by that coefficient to isolate the variable.

3. Working with Negative Numbers: Examples cover solving equations with negative coefficients (e.g., -6y = -30). Special attention is given to the rules for division: dividing two negative numbers yields a positive result, and dividing a positive number by a negative number results in a negative outcome.

4. Handling Variable Placement: Practice solving equations where the variable appears on the right side of the equal sign (e.g., 6.3 = -2 + y).

5. The Transposition Technique (Flipping Signs):Learn a useful shortcut where you can move a number or variable from one side of the equation to the other by simply flipping the sign in front of it (negative becomes positive, positive becomes negative). This technique simplifies solving complex problems like 5 - x = 12


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