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Linear equation system solver
Solve 2 or 3 equations with 2 or 3 unknowns, with the steps.
- Free
- No sign-up
- Works on any device
About Linear equation system solver
Solve two equations in two unknowns or three equations in three unknowns, with the steps shown. Enter the coefficients and constants and it finds x, y and z by elimination. It also tells you when a system has no solution or infinitely many, for parallel or identical lines.
How to use Linear equation system solver
- Choose a system of 2 or 3 equations.
- Type the coefficients of each unknown and the constant on the right side.
- Read the values of the unknowns and follow the steps shown.
Why use this tool?
- Private: everything happens in your browser. Nothing you enter is uploaded.
- Free, with no sign-up, no watermark and no limit on how often you use it.
- Works on phones, tablets and computers: Android, iPhone, Windows, Mac and Linux. Nothing to install.
- Free to embed on your own website, with a ready-made code to copy.
- Available in 10 languages.
Also known as
Frequently asked questions
What if the system has no solution?
That happens when the equations contradict each other, like two parallel lines. The tool reports that no unique solution exists, and the determinant of the coefficients is zero.
What do I enter if a variable is missing from an equation?
Enter 0 as its coefficient. For x + z = 4 in a system with x, y and z, the y coefficient is 0, so every column stays lined up.
How can I check the solution?
Put the values back into each original equation. If every equation holds true, the solution is correct. A small rounding difference on decimals is normal.
Is Linear equation system solver free?
Yes. Linear equation system solver on Toolipedia is free to use, with no sign-up and no watermark.
Is it safe to use?
Yes. Everything is worked out in your browser, and nothing you enter is sent to our server.
Does it work on my phone?
Yes. It works in any modern browser on Android and iPhone, as well as on tablets and computers. There's nothing to install.
Do I need an account?
No. Just open the page and use the tool. There's no sign-up and no email needed.
Can I put Linear equation system solver on my own website?
Yes. Use the Embed on your site button under the tool to copy a short piece of code and paste it into your page. It is free, needs no account, and the tool keeps working inside your page.