Simultaneous Equation Solver: With Step-by-Step Solution

Want to calculate? Get Solutions Here:

To calculate with the Simultanous Eqtn Solver

Enter Pairs or equations above separated Either ',' OR a ';' eg. x^2-y^2=4,2x-y=9 OR x^2-y^2=4,2x-y=9 Click the button to Solve!

Simultanous Quadratic Equations Examples with Solutions

Example 1: 2x^2-4y=7,3x-4y=9 Try It !
Example 2: x^2+y^2=9;x+y=1 Try It !
Example 3: xy-1=0;2x+y=8 Try It !
Example 4: x^2-y=9;3x-2y=4 Try It !
Example 5: 2x-y+z=7;x-y=9 Try It !
Example 6: 3x+y=13;5x-2y=7 Try It !
Example 7: xy-3=8;y+x=1 Try It !
Example 8: x^2-y^2=12;2x+3y=7 Try It !
Example 9: 6x+y=82;x-y=2 Try It !
Example 10: 2x+y=12;y=2x+2 Try It !

Graphical Solution of Equations:

Free Online Simultaneous Equations Solver

Our simultaneous equations solver is a free online tool that solves systems of equations step by step. It supports linear, nonlinear, and quadratic systems with 2, 3, 4, or 5 variables, using any standard variables such as x, y, z.

The calculator can handle systems like: 2x - y + z = 9; 4x - 5y + 8z = 7; x - y + z = 6 as well as nonlinear systems such as: 2xy - y = 9; x - y = 3.

It uses standard algebraic methods including substitution, elimination, and Gaussian elimination to compute accurate solutions and show full working steps for learning purposes.

Quadratic Simultaneous Equation Solver with Steps

This system of equations solver also handles quadratic equations, where variables are raised to the power of 2. It provides not only the final solutions but also a clear step-by-step explanation of the solving process.

By showing full working, the solver helps you understand how different types of simultaneous equations are solved, making it useful for learning, revision, and homework support.

Graphical Solution of Simultaneous Equations

The calculator also supports graphical solutions for 2-variable systems, including both linear and quadratic equations.

A graphical solution represents the points where two graphs intersect on the same coordinate plane. These intersection points correspond to the solutions of the system of equations.

Online Simultaneous Equation Calculator

This free online calculator helps you solve systems of equations instantly with step-by-step working. It is designed for students, teachers, and anyone needing quick and accurate algebra solutions.

Below is a worked example showing how the simultaneous equations solver works in practice.

simultanous equation solver
A free Web simultanous equation solver

As shown in the examples above, using this online simultaneous equations calculator is simple and straightforward.

To get started, enter your equations into the input field above. Separate each equation using a comma or semicolon. After entering your system of equations, click the “Solve now!” button to generate the solution.

Make sure to use only supported mathematical symbols when entering your equations. A list of accepted symbols is provided at the bottom of this page for reference.

How to Solve Simultaneous Equations Online Using Our Solver

Acceptable Math symbols and their usage
If you choose to write your mathematical statements, here is a list of acceptable math symbols and operators.

  • + Used for Addition
  • -Used for Subtraction
  • *multiplication operator symbol
  • /Division operator
  • ^Used for exponent or to Raise to Power
  • sqrtSquare root operator
Pi : Represents the mathematical Constant pi or \pi

What’s more or what are the limitations of the online simultanous equation solver

We love to hear your feedback. If you encounter any problems while using this calculator, please let us know: Want to see more features? Send us your recommendations and app ideas. We are always working hard to make solving simultanous equation easy and fun.


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