Question

Solve and check. $$2 x-5=-11$$

Name: Problem 11, Chapter 5: Prealgebra and Introductory Algebra
Uploaded: 2020-07-01T12:31:01-08:00
Duration: 1 min 32 s
Channel: Joseph Lentino
Description: Solve and check. 2 x-5=-11

   Solve and check. $$2 x-5=-11$$

Prealgebra and Introductory Algebra

Richard N. Aufmann,… 3rd Edition

Chapter 5, Problem 11

Instant Answer

Solved by Expert Joseph Lentino

07/01/2020

Step 1

$$ We want to isolate the variable $x$ on one side of the equation. To do this, we first add $5$ to both sides of the equation to cancel out the $-5$ on the left side. This gives us $$2x = -11 + 5.$$ Show more…

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Solve and check. $$2 x-5=-11$$

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Key Concepts

Linear Equations

A linear equation is an equation that can be written in the form ax + b = c, where a, b, and c are constants. The goal in solving a linear equation is to isolate the variable on one side of the equation so that its value can be directly determined.

Inverse Operations

Inverse operations are used to reverse the operations applied to the variable in an equation. For example, addition is undone by subtraction and multiplication is undone by division. This approach is essential for isolating the variable when solving an equation.

Checking Solutions

Checking solutions involves substituting the obtained value back into the original equation to ensure it satisfies the equation. This step confirms that no errors were made during the manipulation process and that the solution is valid.

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