A linear equation is a topic that serves as a basis for many other areas of mathematics, physics, and engineering sciences. This topic is important because it provides insight into how mathematics can help us solve real situations, such as calculating distance, time, or even financial flows. Remember: An equation arises when two numbers or mathematical expressions are connected by an equality sign. Furthermore, an equation can be true or false. 5 + 5 + 1 = 11 <- the equation is true 5 + 5 + 1 ≠ 10 <- the equation is false [≠ - sign indicates that expressions are not equal.] A linear equation is an equation that expresses a direct proportionality between two variables and can be expressed in the form ax+b=0, where a and b are constants – unknown numbers, which in the equation are represented by letters, and x is the independent variable, which we are seeking. Here a denotes the coefficient at x, and b is the free term. The main characteristic of a linear equation is that the variable x is only in the first degree, which means that its graph is a straight line, but you already know that. Let's solve the equation: twenty-four plus x equals thirty-six. First, we move all the numbers to the right side from the equality sign. We perform the operation and find that this can be a true equation if x is twelve. We check our assumption by putting the number twelve in the equation and see – yes, we can still count. Solve the next equation on your own and we'll compare answers. OK. Solve another one. OK. And one more, the last one, I promise. OK. Let's repeat, because it's important: An equation that can be transformed into the form ax + b = 0 is called a linear equation with one variable, where a and b are numbers, and x is the variable. here is a linear equation, a and b are numbers, while x is the variable. Now determine the a and b numbers and the variable of this equation independently. OK. And now this equation. OK. Learning about linear equations, we gain fundamentals necessary for solving more complex problems, and develop logical thinking abilities. Solving practical examples and engaging in interactive tasks helps to reinforce understanding of linear equations and how to solve them.