Linear Equation Solver (2 Variables)

Math Tools

Solve two equations with x and y

FreePrivateInstant
Equation 1: a1
Equation 1: b1
Equation 1: c1
Equation 2: a2
Equation 2: b2
Equation 2: c2
Embed this tool on your websiteFree
  1. Choose how tall the frame should be.
  2. Press Copy code.
  3. Paste it into your page, blog, WordPress or Notion HTML block.
Height

The tool runs inside your visitor's browser, nothing is uploaded, and a small "Powered by ToolCloak" line stays under it. The second line (script) is optional: it makes the frame fit the tool's height.

Similar tools you may like

History

All history →

Linear Equation Solver (2 Variables) — at a glance

Find x and y that satisfy both equations.

You enter
2x + 3y = 13
x − y = −1
Solve
Result
x = 2
y = 3

How to use it — step by step

The coefficients a, b and c for each equation.

1

Enter your values

Fill in the fields. Default numbers are shown so you can see how it works.

2

Press Solve

The answer appears at once as large result cards.

3

Copy or share

Copy the result, or share a link that opens with your numbers filled in.

Pro tips

Small things that make the result better.

✦Write each equation as ax + by = c.
✦A determinant of zero means no single answer.
✦Check by putting x and y back into both equations.

Quick facts

Freeno signup
Privateruns in your browser
Instantresult in a second
No limituse it as often as you like

Frequently Asked Questions

What method is used?+

Cramer’s rule using determinants.

What if there is no answer?+

Parallel lines never meet, so the tool reports no solution or infinite solutions.

Is my data safe?+

Yes. Everything runs inside your own browser. Your text, files and images are never uploaded to any server.

Is this tool really free?+

Yes — completely free, no signup, no watermark and no usage limit.

More Free Tools