Solve each equation, and check the solution. w-(3)/(4)=-(1)/(6)

Name: Problem 22, Chapter 3: Beginning and Intermediate Algebra
Uploaded: 2021-02-15T15:19:25-08:00
Duration: 1 min 25 s
Channel: Brandon Fox
Description: Solve each equation, and check the solution. w-(3)/(4)=-(1)/(6)

step 1 In this problem, we're going to solve a one -step equation, and we're going to solve for the var

Solve each equation, and check the solution....

Key Concepts

Linear Equations

Linear equations involve expressions where the variable is raised only to the first power. Solving them typically requires isolating the variable on one side of the equation, which simplifies the process of finding its value. These equations form the basis of problem-solving in algebra and are essential for understanding more complex mathematical concepts.

Operations with Fractions

Working with fractions is crucial when solving equations that incorporate fractional coefficients or constants. This includes understanding how to add, subtract, multiply, and divide fractions, as well as finding common denominators. Mastery of these operations is necessary to accurately simplify equations and reach a correct solution.

Properties of Equality

The properties of equality, such as the addition, subtraction, multiplication, and division properties, are fundamental tools for solving equations. These properties state that performing the same operation on both sides of an equation preserves equality, thereby allowing one to isolate and solve for the variable while maintaining the balance of the equation.

Checking Solutions

After solving an equation, it is important to verify the found solution by substituting it back into the original equation. This process ensures that the solution satisfies the equation, confirming its correctness and catching any potential mistakes made during the solving process.

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