What are First Degree Equations of Linear Equations?

First-degree equations of linear equations refer to equations where the highest power of the variable is 1. These equations can have one or more variables.

Understanding First-Degree Linear Equations

First-degree linear equations, often simply called linear equations, are fundamental in algebra. They represent straight lines when graphed (in the case of two variables) and can be used to model various real-world scenarios.

Forms of First-Degree Linear Equations

• One Variable: The standard form is Ax + B = 0, where A and B are constants, and x is the variable. For instance, 2x + 5 = 0 is a first-degree linear equation in one variable.

• Two Variables: The standard form is Ax + By = C, where A, B, and C are constants, and x and y are the variables. An example is 3x + 4y = 12.

Key Characteristics

• Highest Power: The highest power of any variable in the equation is 1.
• Graph: When plotted on a graph, a linear equation with two variables forms a straight line.
• Solutions: The solution to a first-degree linear equation is the value (or set of values) of the variable(s) that make the equation true.

Examples

Here are a few more examples of first-degree linear equations:

• x - 7 = 0
• y = 5x + 2
• 2x + y - 3z = 8