Solve and check. 9 x-4=0

Name: Problem 35, Chapter 5: Prealgebra and Introductory Algebra
Uploaded: 2020-07-02T12:36:52-08:00
Duration: 1 min 14 s
Channel: Joseph Lentino
Description: Solve and check. 9 x-4=0

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Key Concepts

Isolating the Variable

Isolating the variable is the process of rearranging an equation so that the variable of interest is on one side of the equation by itself. This typically involves adding, subtracting, multiplying, or dividing both sides of the equation by the same number, which ensures that the equation remains balanced. This step is essential in solving linear equations and finding the explicit value of the unknown.

Linear Equations

Linear equations are mathematical statements of equality that involve a variable raised only to the first power. They typically take the form ax + b = 0, where a and b are constants. Understanding linear equations is fundamental to algebra because their solutions provide the basis for solving more complex mathematical problems and modeling real-world situations.

Solution Verification

Solution verification involves substituting the obtained value back into the original equation to check if the equality holds true. This practice is important because it confirms that the solution satisfies the original problem conditions and helps identify any errors made during the solving process.

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