Free online calculator
System of Equations Calculator
Solve two-variable systems of linear equations using exact symbolic elimination.
Solution
Your solution will appear here
Enter a problem, use the dedicated math keys, then calculate to see the answer and explanation.
Step-by-step solutions
Clear, detailed explanations
Instant results
Accurate answers in seconds
Free to use
No sign-up required
How to Use the System of Equations Calculator
1
Enter each equation
Separate equations with the word and or a semicolon.
2
Eliminate a variable
The solver combines the equations to isolate one unknown.
3
Verify both values
The final values are checked in the original system.
Example
\begin{cases}x+y=5\x-y=1\end{cases}\Rightarrow x=3,\ y=2Frequently Asked Questions
How should I separate equations?
Use and, for example: x + y = 5 and x - y = 1.
Can it return exact fractions?
Yes. When a solution is fractional, the exact fraction is preserved.
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