Math & Scientific
System of Equations Calculator
System of Equations — it solves the simultaneous equations by elimination and substitution (Cramer's rule for a 2×2 system). This page runs that same calculation on your numbers, in your browser: no signup, no uploads, nothing stored.
System of Equations Calculator takes your equation 1 and equation 2 and gives back the result, applying the standard method. It's a quick, browser-based way to work through a calculation.
About this calculator
Get system of equations right and the rest of the task gets easier. It solves the simultaneous equations by elimination and substitution (Cramer's rule for a 2×2 system). It matters when you need the exact relationship checked quickly rather than worked through by hand. Solve x + y = 10 and x − y = 4: adding gives 2x = 14, x = 7, then y = 3 . The tool above does the same computation in your browser — free, private, nothing stored.
How to use
- Type the first equation in x and y, for example 2x + y = 5.
- Type the second equation in x and y, for example x - y = 1.
- Press Calculate to solve the two equations together.
- Read the values of x and y that satisfy both equations.
Why use System of Equations Calculator
Fast
Calculations run in your browser. No round trip to a server.
Private
Your inputs never leave your device. Nothing is uploaded.
Free
No signup, no paywall, no ads-in-results, no watermarks.
Accurate
Based on standard, well-established formulas.
Mobile-ready
Optimised for phones, tablets, and desktops alike.
Transparent
Honest disclaimers wherever browser limits or regional rules apply.
Common uses
Use it when working through problems
Use it when revising for exams
System of Equations in tutoring and teaching sessions
Use it for quick mental-math cross-checks
Use it for homework and assignment checks
System of Equations in competitive-exam practice
Technical notes
System of Equations Calculator solves the simultaneous equations by elimination and substitution (Cramer's rule for a 2×2 system).
Inputs are taken exactly as entered, so check for typos before trusting an answer.
Results are rounded for display; the underlying calculation keeps full precision.
FAQ
What systems can this solve?
It solves a system of two linear equations in two unknowns, x and y, returning the single point where the two lines meet.
What if the lines are parallel?
If the two equations describe parallel or identical lines, there is no unique solution, and the calculator reports that instead of numbers.
How should I write each equation?
Write each equation with an equals sign and use x and y, for example 3x + 2y = 12. Implicit multiplication like 2x is accepted.
Does the System of Equations Calculator send my data to a server?
No. The System of Equations Calculator runs entirely in your browser, so nothing you enter is uploaded, stored, or shared.
Worked example
Solve x + y = 10 and x − y = 4: adding gives 2x = 14, x = 7, then y = 3.