Linear Equation Calculator

Solve linear equations and systems of equations with step-by-step solutions. Free online linear equation calculator for students and professionals.

Calculator

Linear Equation Calculator

Solve linear equations and systems of equations with our free online linear equation calculator. Get step-by-step solutions and detailed explanations for better understanding.

Linear Equation Calculator

Equation Type

Enter Equation

Solution

Enter an equation above to see the step-by-step solution.

Understanding Linear Equations

Standard Form

ax + b = 0, where a and b are constants and x is the variable.

Slope-Intercept Form

y = mx + b, where m is the slope and b is the y-intercept.

Point-Slope Form

y - y₁ = m(x - x₁), where (x₁, y₁) is a point on the line.

Graphical Representation

Linear equations graph as straight lines in the coordinate plane.

How to Use

  1. Select the type of equation (single or system)
  2. Enter your equation(s) using standard mathematical notation
  3. Use x, y, z for variables and standard operators (+, -, *, /)
  4. Click "Solve Linear Equation" to get the solution
  5. Review the step-by-step solution and explanation

Examples

Single Equation:

2x + 3 = 7 → x = 2

System of Equations:

2x + 3y = 7, x - y = 1 → x = 2, y = 1

Features

  • • Single linear equation solver
  • • System of linear equations
  • • Step-by-step solutions
  • • Multiple variable support
  • • Graphical interpretation
  • • Free to use

Perfect For

  • • Algebra students
  • • Math homework help
  • • Engineering calculations
  • • Physics problems
  • • Business applications
  • • Problem solving

Frequently Asked Questions

What is a linear equation?

A linear equation is an equation where the highest power of the variable is 1. It forms a straight line when graphed and has the general form ax + b = 0.

How do I solve a linear equation?

To solve a linear equation, isolate the variable by performing the same operations on both sides. Add/subtract terms to get variables on one side, then divide by the coefficient.

What if there are multiple variables?

For systems of linear equations, you can use substitution, elimination, or matrix methods. The calculator can handle both single equations and systems.