Linear Equations in Maths

A linear equation is one in which the highest power of a variable (like x, y, etc.) is 1. For example, x + 10, y + 1, etc. This means the graph of the equation is a straight line.

Real-Life Examples:

• Perimeter of a square depends on its side: P = 4s
• Perimeter of a rectangle (for fixed length l) depends on width: P = 2l + 2w
• Distance at constant speed depends on time: d = vt

Foundations

Covers the basic concepts of linear equations.

• Introduction
• Formulas
• Linear Equation in One Variable
• Linear Equation in Two Variables

Forms of Linear Equations

Different ways linear equations can be written.

• Standard Form
• Slope-Intercept Form
• Point-Slope Form
• Practice Problems
• Real-World Applications

Solving Linear Equations

Method used to solve linear equations.

• Substitution Method
• Elimination Method
• Solving Linear System with Addition or Subtraction

Graphing

How linear equations are represented graphically.

• Graphical Methods of Solving Pair of Linear Equations
• Solve Systems of Linear Equations by Graphing
• Graphical Solution of Linear Inequalities in Two Variables

System of Linear Equations

Introduces systems of equations and solution methods.

• Introduction
• Gaussian Elimination
• Word Problems Worksheet

Applications

Advanced applications of linear equations.

• Linear Inequalities
• Word Problems
• Linear Programming
• Linear Regression

Practice

Test the understanding of the topic through quizzes, practice problems, etc.

• Quiz
• Practice Problems on Two variable
• GRE Questions

For Programmers

Practice using the code in your preferred programming language.

• Find number of solutions of a linear equation of n variables
• Linear Equations with Python
• Solution of system of linear equations in MATLAB