How to Solve Linear Equations with One or Two Variables

A linear equation is an algebraic equation consisting of variables and constants, where the highest exponent of the variable is 1. It does not involve products of variables, square roots, or higher-order terms. Since the variable’s degree is one, it is also known as a first-degree equation. Linear equations can have one or more variables and represent straight lines in a coordinate system.

Solving linear equations with one or two variables involves finding the values of the variables that satisfy the equation(s). In this video, I explain the steps to solve linear equations that involve one or two variables, providing several examples and word problems. The concepts presented will help you understand linear equations more clearly and enable you to solve them with ease. There are also quizzes based on this concept; you can find the link below.

General Form of a Linear Equation

  • A linear equation in one variable is of the form:
$$ ax + b = 0 $$

where a and b are constants, and x is the variable.

  • A linear equation in two variables is of the form:
$$ ax + by = c $$

Where a, b, and c are constants. x and y are the variables.

Links to the related quiz are here:

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