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Name Date 1.3 Solving Equations with Variables on Both Sides For use with Exploration 1.3 Essential Question How can you solve an equation that has variables on both sides? 1 EXPLORATION: Perimeter

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How to fill out solving equations with variables

How to Fill Out Solving Equations with Variables:

01

Start by identifying the variables in the equation. Variables are represented by letters, such as x or y, and can take on different values. For example, in the equation 2x + 3 = 7, x is the variable.

02

Use the rules of algebra to manipulate the equation and isolate the variable. The goal is to get the variable on one side of the equation while keeping the equation balanced. In the example, subtracting 3 from both sides of the equation gives 2x = 4.

03

Solve for the variable by performing the necessary mathematical operations. In the example, dividing both sides of the equation by 2 gives x = 2.

04

Check your solution by substituting the value of the variable back into the original equation. If it satisfies the equation, then you have found the correct solution. In the example, substituting x = 2 into 2x + 3 = 7 results in 4 + 3 = 7, which is true.

Who Needs Solving Equations with Variables:

01

Students studying mathematics: Solving equations with variables is a fundamental concept in algebra and is taught in middle school and high school. Students need to learn how to solve equations to progress to more advanced topics in math.

02

Engineers and scientists: Equations with variables are used extensively in engineering and scientific disciplines. These professionals use mathematical models to solve complex problems and make predictions, which often require solving equations with variables.

03

Business professionals: Solving equations with variables is also relevant in fields such as finance and economics. These professionals use mathematical models to make financial projections, analyze data, and make informed decisions.

Overall, anyone who encounters situations where unknown values need to be determined based on given conditions can benefit from knowing how to solve equations with variables.

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What is solving equations with variables?

Solving equations with variables involves finding the values of the variables that make the equation true.

Who is required to file solving equations with variables?

Those studying algebra or mathematics may be required to solve equations with variables.

How to fill out solving equations with variables?

To fill out solving equations with variables, one needs to substitute the variables with values and solve for the unknowns.

What is the purpose of solving equations with variables?

The purpose of solving equations with variables is to find the values that satisfy the given equation.

What information must be reported on solving equations with variables?

Information such as the equation, variables, and the values of the variables that satisfy the equation must be reported.

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