Cramer's Rule

Calculate Cramer's Rule instantly with the exact formula and a worked example. Free online calculator — no signup, works on mobile.

Cramer's Rule

a₁
b₁
c₁
a₂
b₂
c₂
x = (c₁·b₂ − c₂·b₁)/det
2
Calculate Cramer's Rule instantly with the exact formula and a worked example. Free online calculator — no signup, works on mobile.

More about: Cramer's Rule

What it calculates

The “Cramer's Rule” calculator computes x = (c₁·b₂ − c₂·b₁)/det from 6 parameters: a₁, b₁, c₁, a₂, b₂, c₂.

A core calculation for studying, engineering tasks, and checking solutions.

Example calculation

With parameters a₁ = 2, b₁ = 1, c₁ = 5, a₂ = 1, b₂ = -1, c₂ = 1 the result is 2.

How to use

  1. Enter the parameter values — every field above is adjustable with a slider.
  2. The result and related metrics are calculated automatically as you type.
  3. Use the additional metrics shown (if any) where needed.
  4. Copy the result or bookmark the page.

Related calculators