Solve. (1)/((1)/(x))+8=-19

Name: Problem 114, Chapter 5: Prealgebra and Introductory Algebra
Uploaded: 2020-06-22T01:00:11-08:00
Duration: 1 min 13 s
Channel: Ethan Somes
Description: Solve. (1)/((1)/(x))+8=-19

step 1 Here we have the equation 1 divided by 1 over x plus 8 equals negative 19. Okay, so first I'm go

Question

Solve. $$\frac{1}{\frac{1}{x}}+8=-19$$

   Solve.
$$\frac{1}{\frac{1}{x}}+8=-19$$

Prealgebra and Introductory Algebra

Richard N. Aufmann,… 3rd Edition

Chapter 5, Problem 114

Instant Answer

Solved by Expert Ethan Somes

06/22/2020

Step 1

We want to isolate the term $\frac{1}{\frac{1}{x}}$, so we subtract 8 from both sides of the equation. This gives us: \[\frac{1}{\frac{1}{x}} = -19 - 8\] Show more…

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Solve. $$\frac{1}{\frac{1}{x}}+8=-19$$

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Key Concepts

Reciprocal Relationships

This concept involves understanding that the reciprocal of a number is 1 divided by that number. Recognizing that the reciprocal of 1/x is x is key in simplifying expressions that involve nested fractions or complex reciprocal operations.

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Solving Linear Equations

This concept involves finding the value of the variable that makes a linear equation true. It typically includes isolating the variable by performing inverse operations, such as adding, subtracting, multiplying, or dividing both sides of the equation, to achieve a simplified form where the solution is easily obtained.

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