Cramer's Rule
Calculate Cramer's Rule instantly with the exact formula and a worked example.
Cramer's Rule
a₁
b₁
c₁
a₂
b₂
c₂
x = (c₁·b₂ − c₂·b₁)/det
2
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
- Enter a₁, b₁, c₁, a₂, b₂ and c₂ — each field above is adjustable with a slider.
- x = (c₁·b₂ − c₂·b₁)/det is calculated automatically as you type.
- Check the worked example below to see the formula applied to real numbers.
- Copy the result or bookmark this calculator.
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FAQ
How is Cramer's Rule calculated?
The Cramer's Rule calculator computes x = (c₁·b₂ − c₂·b₁)/det from a₁, b₁, c₁, a₂, b₂, c₂. Enter your values above and the exact formula is applied instantly; a worked example with real numbers is shown below.
Is the Cramer's Rule calculator free?
Yes. It is completely free, needs no signup, runs entirely in your browser, and sends no data to any server.
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