Question

Solve each equation. Check your solution. $2 p=14$

   Solve each equation. Check your solution. 
$2 p=14$

Algebra 2

Holliday, Luchin,… 1st Edition

Chapter 1, Problem 31

Instant Answer

Solved by Expert Eva R

03/02/2020

Step 1

To solve for $p$, we need to isolate $p$ on one side of the equation. Since $p$ is currently being multiplied by 2, we can do the inverse operation, which is division, to isolate $p$. Show more…

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Solve each equation. Check your solution. $2 p=14$

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Key Concepts

Inverse Operations

Inverse operations are used to undo the effect of another operation. In the context of solving linear equations, they enable you to isolate the variable by applying operations that are the opposites of those affecting the variable. For example, if the variable is being multiplied by a number, you would use division to reverse this operation.

Solution Verification

Solution verification is the process of substituting the obtained solution back into the original equation to ensure that it satisfies the equation. This step confirms that the steps taken to solve the equation were correct and that no mistakes were made, thereby validating the final answer.

Linear Equations

Linear equations are algebraic equations in which each term is either a constant or the product of a constant and a single variable. They involve variables raised only to the first power and, when solved, provide a unique value for the unknown. The general approach is to isolate the variable on one side of the equation using basic algebraic operations.

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