Difference between Linear Equations and Non-Linear Equations
The key differences between Linear Equations and Non-Linear Equations are:
| Feature | Linear Equations | Non-Linear Equations |
|---|---|---|
| Definition | Equations of the form ax + by = c, where a, b, and c are constants, and x and y are variables raised to the power of 1. | Equations where the highest power of the variables is greater than 1, or variables are multiplied together. |
| Graph | Represented by straight lines. | Represented by curves or irregular shapes. |
| Solution(s) | Always forms a straight line when graphed. | Can form curves, loops, or irregular shapes when graphed. |
| Number of Solutions | Always one solution (if the lines intersect). | Can have multiple solutions or none. |
| Solution Method | Solvable using algebraic methods like substitution, elimination, or graphing. | Often require numerical or iterative methods for solutions. |
Must Read
Also Check
Linear Equations in One Variable
Linear equation in one variable is the equation that is used in algebra for finding unknown quantities. It is used for representing the conditions that are dependent on one variable. It is a linear equation i.e. the equation in which the degree of the equation is one, and it only has one variable.
Linear Equations in One Variable
Let’s know more about Linear Equations in one Variable in detail below.
Contact Us