Linear Equation Solver (2 Variables)
Math ToolsSolve two equations with x and y
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History
All history →Linear Equation Solver (2 Variables) — at a glance
Find x and y that satisfy both equations.
2x + 3y = 13
x − y = −1
Solve
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.
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