Linear equations are algebraic equations of the first degree, meaning that the highest power of the variable (usually denoted as xx) is 1. A linear equation can be written in the general form:

ax + b = 0

Here, a and b are constants, and xx is the variable. The solution to a linear equation is a value of x that makes the equation true. In the example above, the solution is x = −b/a, assuming a is not equal to 0.

Linear equations can also be expressed in the form \(y = mx + b \), where mm is the slope of the line, and b is the y-intercept. This form is commonly known as the slope-intercept form.

2x − 3 = 0

The solution to this linear equation is x = 3/2.

Linear equations play a fundamental role in algebra and are essential in various areas of mathematics and science. Systems of linear equations, which involve multiple linear equations with the same variables, are commonly used to model and solve real-world problems in fields such as physics, engineering, economics, and more.