System of Equations Calculator

Solve two linear equations with two unknowns (x and y).

Quick answer: System of Equations Calculator: Solve two linear equations with two unknowns (x and y). Everything runs in your browser, so nothing you enter is uploaded or stored.

How to use System of Equations Calculator

Enter your values in the fields.
The results update instantly as you type.
Note or copy the numbers you need.

Features

Instant results
Free, no signup
Runs in your browser, nothing is uploaded
Works on phone and desktop

Formula

Cramer's rule: x = (c1 b2 - c2 b1) / D, y = (a1 c2 - a2 c1) / D, D = a1 b2 - a2 b1.

Worked example

2x + 3y = 13 and x - y = 1 give x = 3.2 and y = 2.2.

Frequently asked questions

Which form is used?

a1 x + b1 y = c1 and a2 x + b2 y = c2.

What if there is no solution?

The lines are parallel or the same line.

Is the System of Equations Calculator free?

Yes. It is free, needs no signup and works on any device.