Which equation systems can this page solve?

It solves square linear systems from 2 through 8 variables using a coefficient table and a selected matrix method.

Where should I solve degree four or higher?

Use the Polynomial Solver for coefficient-based roots from degree 1 through 10.

FREE ADVANCED EQUATION SOLVER

Choose a polynomial or build a flexible linear system.

Solve linear, quadratic, cubic, and 2–8 variable systems with Gaussian elimination, Gauss-Jordan / RREF, matrix inverse, or Cramer’s rule where applicable.

SELECT A WORKFLOW

Quadratic

ax² + bx + c = 0

Equation workflow

ax² coefficientbx coefficientcconstant

ABOUT THIS TOOL

Equation Solver

Choose a one-variable polynomial workflow or build a coefficient system with 2–8 variables and a transparent matrix-solving method.

Linear, quadratic, and cubic equations
2–8 variable simultaneous equations
Gaussian, Gauss-Jordan, inverse, and Cramer's methods

KEY FUNCTIONS

Linear equation solverQuadratic formula and complex rootsCubic equation rootsGaussian eliminationGauss-Jordan RREFMatrix inverse methodCramer's rule for 2–4 variables

LEARN THE METHOD

Short guides for this workflow

GUIDEHow to plot multiple equationsCompare functions, vertical lines, tables, roots, and intersections.Read →GUIDETI-84 style online graphing workflowsUse independent online workflows for graphs, tables, trace values, and intersections.Read →

KEEP SOLVING

Browse all tools →

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Matrix & Vector Calculator

Build or paste flexible matrices, then calculate arithmetic, row reduction, inverse, rank, cofactors, adjugate, 2×2 eigenvalues, and A·x = b systems.

→f(x)

Polynomial Solver

Enter coefficients for a polynomial of degree 1 to 10 and calculate real or complex roots numerically.

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Graphing Calculator

Plot and compare several functions, inspect value tables, trace x-values, and adjust the graph window directly in your browser.

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