Question

Solve each formula for the specified variable. Assume that the denominator is not 0 if variables appear in the denominator. See Examples 4(a) and (b). $P=a+b+c, \quad$ for $c \quad$ (perimeter of a triangle)

Name: Problem 41, Chapter 1: Precalculus
Uploaded: 2021-04-19T18:01:52-08:00
Duration: 1 min 10 s
Channel: Julie Silva
Description: Solve each formula for the specified variable. Assume that the denominator is not 0 if variables appear in the denominator. See Examples 4(a) and (b). P=a+b+c, for c (perimeter of a triangle)

   Solve each formula for the specified variable. Assume that the denominator is not 0 if variables appear in the denominator. See Examples 4(a) and (b).
$P=a+b+c, \quad$ for $c \quad$ (perimeter of a triangle)

Precalculus

Margaret L. Lial,… 6th Edition

Chapter 1, Problem 41

Instant Answer

Solved by Expert Julie Silva

04/19/2021

Step 1

Step 1: We start with the given equation: \[P=a+b+c\] We want to solve for $c$, so we need to isolate $c$ on one side of the equation. Show more…

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Solve each formula for the specified variable. Assume that the denominator is not 0 if variables appear in the denominator. See Examples 4(a) and (b). $P=a+b+c, \quad$ for $c \quad$ (perimeter of a triangle)

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Key Concepts

Algebraic Manipulation

This refers to the process of rearranging an equation by performing operations such as addition, subtraction, multiplication, or division on both sides of the equation. The goal is to isolate a particular variable or express the equation in a desired form, while maintaining the equality. This fundamental method is crucial in solving equations and making them easier to work with.

Isolating the Variable

In solving equations, isolating the variable means rearranging the equation so that the variable of interest appears alone on one side of the equation. For example, when given an equation that includes several terms, one can use the subtraction or addition properties of equality to move other terms away from the variable that one wants to solve for. This technique simplifies the equation and provides the direct form of the solution.

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