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Name: Date: Page 1 of 3 Solving Equations with Variables on Both Sides 1. You are looking for a dog spa to care for your dog. Each time you visit a spa, you ask them to give your dog a bath. There
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Point by point steps to fill out solving equations with variables:

01
Start by identifying the given equation: Begin by writing down the equation that needs to be solved. This equation should contain variables (usually represented by letters) and constants (numbers).
02
Simplify and rearrange the equation: Use algebraic rules to simplify the equation and rearrange it, if necessary, so that all the variables are on one side of the equation and the constants are on the other side.
03
Isolate the variable: If there are multiple variables in the equation, choose one variable to isolate. This means getting the variable alone on one side of the equation.
04
Apply inverse operations: Use inverse operations to cancel out any operations being performed on the variable. For example, if the variable is being multiplied by a number, divide both sides of the equation by that number to cancel out the multiplication.
05
Solve for the variable: After using inverse operations, you should have an equation with the variable isolated on one side. Solve for the variable by performing any necessary arithmetic operations.
06
Check your solution: Once you have found the value for the variable, substitute it back into the original equation to check if it satisfies the equation. If the equation holds true, then the solution is correct. If not, recheck your work or consider other methods of solving.

Who needs solving equations with variables?

01
Students studying mathematics: Solving equations with variables is a fundamental concept in algebra and is taught to students during their math education. It is crucial for students to understand how to solve equations as it lays the foundation for more advanced mathematical concepts.
02
Engineers and scientists: Equations with variables are used extensively in engineering and scientific fields. These professionals often encounter complex equations that involve multiple variables and need to be solved to find solutions to real-world problems.
03
Financial analysts: In finance, equations with variables are used to analyze investments, calculate interest rates, project future values, and determine other financial metrics. Financial analysts need to solve equations with variables to make informed decisions and predictions.
In conclusion, understanding how to fill out solving equations with variables is essential for students studying mathematics, professionals in engineering and science fields, and financial analysts. By following the step-by-step process, anyone can solve equations with variables and obtain accurate solutions.
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Solving equations with variables involves finding the values of the variables that satisfy the equation.
Students and mathematicians are typically required to solve equations with variables.
To fill out solving equations with variables, one needs to isolate the variable and solve for its value.
The purpose of solving equations with variables is to find the unknown values that satisfy the equation.
The values of the variables that satisfy the equation must be reported.
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