Linear Equation Solver
Solve linear equations step-by-step with our online calculator. Find x in equations like ax + b = c.
Category: Calculator
Linear Equation Solver
Solve equations in the form ax + b = c
How to Solve Linear Equations
- Move all terms with the variable to one side
- Move all constant terms to the other side
- Combine like terms
- Divide both sides by the coefficient of the variable
Frequently Asked Questions
What is a linear equation?
A linear equation is an algebraic equation where each term is either a constant or the product of a constant and a single variable raised to the power of 1. The standard form is ax + b = c, where a, b, and c are constants and x is the variable to be solved for. Linear equations create straight lines when graphed.
How do you solve a linear equation?
To solve a linear equation: 1) Simplify each side by combining like terms, 2) Move all variable terms to one side and all constant terms to the other side using addition or subtraction, 3) Divide both sides by the coefficient of the variable to isolate the variable, 4) Check your answer by substituting it back into the original equation.
What does it mean when a linear equation has no solution or infinitely many solutions?
A linear equation has no solution when it results in a contradiction (e.g., 0x = 5), meaning the equation is inconsistent. It has infinitely many solutions when the equation is an identity (e.g., 0x = 0), meaning any value of x satisfies the equation. These special cases occur when the coefficient of x becomes zero during solving.