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# Equality Explorer: Two Variables

Download Embed close Embed a running copy of this simulation <iframe src="https://phet.colorado.edu/sims/html/equality-explorer-two-variables/latest/equality-explorer-two-variables_en.html" width="800" height="600" scrolling="no" allowfullscreen></iframe> Use this HTML to embed a running copy of this simulation. You can change the width and height of the embedded simulation by changing the "width" and "height" attributes in the HTML. Embed an image that will launch the simulation when clicked <div style="position: relative; width: 300px; height: 200px;"><a href="https://phet.colorado.edu/sims/html/equality-explorer-two-variables/latest/equality-explorer-two-variables_en.html" style="text-decoration: none;"><img src="https://phet.colorado.edu/sims/html/equality-explorer-two-variables/latest/equality-explorer-two-variables-600.png" alt="Equality Explorer: Two Variables" style="border: none;" width="300" height="200"/><div style="position: absolute; width: 200px; height: 80px; left: 50px; top: 60px; background-color: #FFF; opacity: 0.6; filter: alpha(opacity = 60);"></div><table style="position: absolute; width: 200px; height: 80px; left: 50px; top: 60px;"><tr><td style="text-align: center; color: #000; font-size: 24px; font-family: Arial,sans-serif;">Click to Run</td></tr></table></a></div> Use this HTML code to display a screenshot with the words "Click to Run". | Equations Inequalities System of Equations Donate PhET is supported by and educators like you.

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### Topics

- Equations
- Inequalities
- System of Equations

### Description

Explore what it means for a mathematical statement to be balanced or unbalanced by interacting with integers and variables on a balance. Find multiple ways to balance x and y to build a system of equations.

### Sample Learning Goals

- Solve and manipulate algebraic equations by substituting different values for a variable
- Use a balance model to solve an equation for an unknown, and justify your strategies for solving
- Build a system of equations
- Determine the solution set of a system of equations

Version 1.0.0

### Keywords

- Algebra
- Evaluate
- Evaluating Expressions
- Math
- Equivalent Expressions
- Variables
- Balance

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### Teacher Tips

| Overview of sim controls, model simplifications, and insights into student thinking ( PDF ).

### Teacher-Submitted Activities

Share an Activity!

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Language |  | Download or Run |  |  | Tips
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Basque
Spanish | All español |  |  | Explorador de Igualdades: Dos variables |

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Equality Explorer | Equality Explorer: Basics | Graphing Lines

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Windows 7+ | Mac OS 10.10+ | iPad and iPad Mini with iOS | Chromebook with Chrome OS
--- | --- | --- | ---
Microsoft Edge and Internet Explorer 11, latest version of Firefox, latest version of Chrome. | Safari 9+, latest version of Firefox, latest version of Chrome. | Latest version of Safari | Latest version of Chrome

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Design Team | Third-party Libraries | Thanks To
--- | --- | ---
Amanda McGarry (lead designer) Chris Malley (developer) Diana Berenice Lopez Tavares Ariel Paul Kathy Perkins Argenta Price Beth Stade David Webb Mariah Hermsmeyer (graphic arts) Cheryl McCutchan (graphic arts) | almond-0.2.9.js base64-js-1.2.0.js easing-equations-r12 FileSaver-b8054a2.js font-awesome-4.5.0 game-up-camera-1.0.0.js he-1.1.1.js himalaya-0.2.7.js jama-1.0.2 jquery-2.1.0.js lodash-4.17.4.js pegjs-0.7.0.js seedrandom-2.4.2.js text-2.0.12.js TextEncoderLite-3c9f6f0.js Tween-r12.js |