Math

System of Equations Calculator

Solve two linear equations a1 x + b1 y = c1 and a2 x + b2 y = c2.

Free to use — no sign-up or login.

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This free System of Equations Calculator covers Solve two linear equations a1 x + b1 y = c1 and a2 x + b2 y = c2.

Enter the System of Equations Calculator fields, then read the output. Math calculators on this site keep the formula visible beside the form, with no account required.

Using the System of Equations Calculator

Solve two linear equations a1 x + b1 y = c1 and a2 x + b2 y = c2. Typical inputs are a₁, b₁, c₁ and a₂. How it works beside the form states the identity the System of Equations Calculator applies.

FAQ

How do I use the System of Equations Calculator?

Open the System of Equations Calculator, fill a₁, b₁, c₁ and a₂, and read the result. Cramer’s rule uses 2×2 determinants when the coefficient determinant is nonzero.

What formula does the System of Equations Calculator use?

The System of Equations Calculator uses the identity in How it works. In words: Cramer’s rule uses 2×2 determinants when the coefficient determinant is nonzero.