Math & Education Tools
100% Client-Side Equation solving runs completely on your device.

Linear Equation & 2x2 System Solver

Solve single-variable linear equations and 2x2 simultaneous equations with Cramer’s Rule steps

Algebra & Matrix Engine

Algebra & Matrix Studio

Solve quadratic equations with complex roots, 2x2 systems via Cramer's rule, binomial FOIL expansions, and 2x2/3x3 matrix linear algebra with instant proofs.

Solver Mode

Standard linear equation form: ax + b = c
Single Variable Linear Equation
3x + 7 = 22
x = 5

Step-by-Step Algebraic Isolation

Original equation: 3x + 7 = 22
Subtract 7 from both sides: 3x = 22 - (7) = 15
Divide both sides by 3: x = 15 / 3
Final solution: x = 5

About Linear Equation & 2x2 System Solver

Step-by-step solver for algebraic equations. Solves single-variable linear equations (ax + b = c) and systems of two linear equations with two unknowns using determinants (Cramer’s Rule).

Key Capabilities & Features

  • Solves ax + b = c with full algebraic step isolation
  • Solves 2x2 simultaneous equations via Cramer Rule
  • Calculates determinants D, Dx, Dy
  • Handles identity and contradiction edge cases

How to Use Linear Equation & 2x2 System Solver

1

Choose Type

Select 1-variable or 2-variable system.

2

Enter Values

Input equation coefficients.

3

Review Steps

Inspect solutions for x and y with step-by-step determinant algebra.

Privacy & In-Browser Execution Guarantee

Equation solving runs completely on your device.

Frequently Asked Questions

What is Cramer’s Rule?

Cramer’s Rule is an explicit formula for the solution of a system of linear equations using matrix determinants.