Question

Solve and check each equation. $$\frac{a}{4}=12$$

   Solve and check each equation. $$\frac{a}{4}=12$$

Beginning and Intermediate Algebra

Beginning and Intermediate Algebra

Sherri Messersmith 2nd Edition

Chapter 3, Problem 29

Instant Answer

Solved by Expert Raushan Kumar

09/16/2020

Step 1

We can do this by multiplying both sides of the equation by 4. This gives us: \begin{equation} \frac{a}{4} * 4 = 12 * 4 \end{equation} Show more…

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Solve and check each equation. $$\frac{a}{4}=12$$

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Key Concepts

Solution Verification

Solution verification is the process of substituting the obtained value back into the original equation to ensure that it satisfies the equation. This step confirms the correctness of the solution by checking that both sides of the equation are equal when the variable is replaced with the found value.

Inverse Operations

Inverse operations, such as multiplication and division, are used to simplify equations. They help in 'undoing' an operation applied to a variable. For instance, if a variable is divided by a number, multiplying both sides of the equation by that number can isolate the variable.

Variable Isolation

Variable isolation is the process of getting the variable on one side of the equation by performing inverse operations. This technique is fundamental in solving equations as it allows us to determine the value of the variable by undoing other operations present in the equation.

Linear Equations

A linear equation is an algebraic equation in which each term is either a constant or the product of a constant with a single variable, meaning its graph is a straight line. These equations generally involve finding the value of the variable that makes the equation true.

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