How to Solve Linear Equations in One Variable - Finding the Solution of an Equation

Example 1: Solving 4x + 9 = -1100:00:34

The first example demonstrates solving 4x + 9 = -11. The video explains transposing the constant term (9) to the other side, changing its sign, then simplifying and dividing to find 'x'. A method for checking the solution is also presented.

Example 2: Solving 5x - 9 = -3x + 1900:03:47

The second example involves an equation with variables and constants on both sides: 5x - 9 = -3x + 19. The instructor shows how to group like terms by transposing them, simplifying, and then dividing to find the value of 'x' as 7/2.

Introduction to Solving Linear Equations00:00:00

The video introduces the topic of solving linear equations in one variable, highlighting the use of properties of equality and the transposition method. The main goal is to isolate the variable 'x'.

Example 3: Solving x + 2(x + 4) = 4400:05:47

The third example, x + 2(x + 4) = 44, requires first eliminating the grouping symbol by distributing the 2. Then, like terms are combined, and the equation is solved using the transposition and division methods to find x = 12. A quick check is performed.

Conclusion and Channel Information00:07:51

The video concludes by summarizing the process of solving linear equations in one variable and encourages viewers to like, subscribe, and hit the notification bell for future updates.