# Istraživač jednačina: Dvije promjenljive   Preuzimanje (Download) Ugradnja (Embed) zatvori Ugradi (Embed) izvršnu kopiju ove simulacije Koristi ovaj HTML za ugradnju (embed) izvršne kopije ove simulacije. Možeš mijenjati dimenzije prikaza (širinu i visinu ekrana) mijenjajući "width" i "height" atribute u HTML. Ugradi sliku. Klikom na nju pokretat će se simulacija.
Klikni i započni
Koristi ovaj HTML kod da bi se pojavio ekran sa natpisom "Klikni i započni" ("Click to Run"). Equations Inequalities System of Equations PhET je podržаn od: i nаstаvnikа kаo što ste Vi!

• 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.

### Primjeri obrazovnih ciljeva

• 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

### Standards Alignment

#### Common Core - Math

6.EE.B.5
Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true.
6.EE.B.6
Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set.
7.EE.B.3
Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. For example: If a woman making \$25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or \$2.50, for a new salary of \$27.50. If you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation.
7.EE.B.4
Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.
8.EE.C.7
Solve linear equations in one variable.
8.EE.C.7a
Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form x = a, a = a, or a = b results (where a and b are different numbers).
8.EE.C.8
Analyze and solve pairs of simultaneous linear equations.
HSA-CED.A.1
Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.
HSA-CED.A.3
Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options in a modeling context. For example, represent inequalities describing nutritional and cost constraints on combinations of different foods.
HSA-REI.A.1
Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.
HSA-REI.B.3
Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
Version 1.0.12

### Teacher Tips Vodič za nastavnike (pdf) sadrži savjete kreirane оd strane PhET tima. ( PDF ).

### Teacher-Submitted Activities

Middle School Math Sim Alignment Amanda McGarry MS (SŠ) Ostalo Matematika
SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) Diana López HS (VŠ)
MS (SŠ)
Ostalo Fizika
Hemija
Biologija
Matematika
PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) Diana López UG-Intro (VSŠ)
HS (VŠ)
Ostalo Hemija
Fizika
Matematika
Albanski All shqip  Hulumtues barazishë: Dy ndryshore
Arapski All العربية  مستكشف المساواة: متغيرين
Baskijski All Euskara  Berdintasun-esploratzailea: bi aldagai
Brazilski Portugalski All português (Brasil)  Explorador da Igualdade: Duas Variáveis
Danski All Dansk  Ligevægts-visning: To variabler
Engleski All English  Equality Explorer: Two Variables
Francuski All français  Explorateur d'équation : Deux variables
Grčki All Ελληνικά  Εξερευνητής εξισώσεων: δυο μεταβλητές
Gujarati All Gujarati  સમીકરણ સમાનતા શોધક: બે ચલ- Pankajsid34
Hindu All हिंदी  समानता का पता करें : दो चरांको के
Holandski All Nederlands  Ontdek gelijkheid: twee veranderlijken
Italijanski All italiano  Esplora le equazioni a due variabili
Japanski All 日本語  つり合いを作ろう: 2つの文字を用いて
Kazaški All Kazakh  Екі айнымалы теңдік
Kineski - Tradicionalni All 中文 (台灣)  Equality Explorer: Two Variables_探索等式：兩個變數
Kineski - Uprošćen All 中文 (中国)  等式探索:两个变量
Korejski All 한국어  등식 연습하기: 2변수
Letonski All Latviešu  Vienādību pētīšana: Divi mainīgie
Mađarski All magyar  Egyenlőségvizsgálat: két változó
Mongolski All Монгол (Монгол)  Тэнцэтгэл Судлах: Хоёр Хувьсагч
Njemački All Deutsch  Gleichheit schaffen: Zwei Variablen
Persijski All فارسی  کاوشگر برابری: دو متغیر
Poljski All polski  Poznajemy równania - dwie niewiadome
Portugalski All português  Explorador de Igualdades. Duas Variáveis
Ruski All русский  Равенства с двумя переменными
Slovački All Slovenčina  Skúmanie rovnosti: Dve premenné
Španski All español  Explorador de Igualdades: Dos variables Španski (Meksiko) All español (México)  Explorador de Igualdades: Dos variables Španski (Peru) All español (Perú)  Explorador de Igualdad: Dos Variables
Srpski All Српски  Истраживач једначина: Две променљиве
Švedski All svenska  Utforska likheter: Två variabler
Turski All Türkçe  Eşitlik Gezgini: İki Değişkenli
Ukrajinski All українська  Дослідник рівностей. Дві змінні Vijetnamski All Tiếng Việt  Đẳng thức: 2 biến

HTML5 sims can run on iPads and Chromebooks, as well as PC, Mac, and Linux systems.

iOS 12+ Safari

Android:
Not officially supported. If you are using the HTML5 sims on Android, we recommend using the latest version of Google Chrome.

Chromebook:
The HTML5 and Flash PhET sims are supported on all Chromebooks.
Chromebook compatible sims

Windows Systems:

Macintosh Systems:

Linux Systems:

Dizajn tim Nezavisne baze i biblioteke Hvala:
• Chris Malley (developer)
• Diana López Tavares
• Ariel Paul
• Kathy Perkins
• Argenta Price
• 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