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MATH / LINEAR ALGEBRA

Two Equation System Calculator

Solve a two-variable linear system using Cramer determinants. Review the equation, substituted values, result, assumptions, and interpretation in one focused workspace.

  • 01 Calculated in this tab
  • 02 Values stay in this browser tab
  • 03 Use boundary

Conversion input

Known value

Filter by unit name, symbol, or code. Your current selections remain available.

Equation inputs

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Use boundary

Calculation path

Solve a two-variable linear system using Cramer determinants. The page evaluates the displayed equation from your supplied values and presents both symbolic and substituted KaTeX working so the arithmetic can be checked.

Calculation path

x=(ce-bf)/(ae-bd)

What you provide

What you provide

  • First equation x coefficient, using the same scenario as the other inputs
  • First equation y coefficient, using the same scenario as the other inputs
  • First equation constant, using the same scenario as the other inputs
  • Second equation x coefficient, using the same scenario as the other inputs
  • Second equation y coefficient, using the same scenario as the other inputs
  • Second equation constant, using the same scenario as the other inputs

What you receive

What you receive

  • Solution x from the stated equation
  • A symbolic formula plus substituted working with your values
  • Visible assumptions, field guidance, and an authoritative learning reference

Use boundary

Choose the maximum decimal places shown. This does not increase source accuracy.

The two equations are linear and have one unique intersection.

Use internally consistent units and retain extra precision when carrying the result into another calculation.

Reviewed reference factors

Reviewed reference factors

OpenStax College Algebra 2e

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