Question

Solve each equation and check. $$ -5 x=-30 $$

   Solve each equation and check.
$$
-5 x=-30
$$

Intermediate Algebra

Intermediate Algebra

Elayn Martin-Gay 6th Edition

Chapter 2, Problem 1

Instant Answer

Solved by Expert Xiaomeng Zhang

07/15/2020

Step 1

Step 1: We start with the given equation: $$ -5x = -30 $$ Show more…

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Solve each equation and check. $$ -5 x=-30 $$

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Key Concepts

Linear Equation

A linear equation is an algebraic equation in which each term is either a constant or the product of a constant and a single variable. This type of equation represents a straight line when graphed and is typically in the form ax + b = c, where a, b, and c are constants.

Isolating the Variable

Isolating the variable involves performing algebraic operations to get the variable by itself on one side of the equation. This often involves using inverse operations, such as dividing both sides of the equation by the coefficient of the variable, to simplify and solve the equation.

Checking the Solution

Checking the solution means substituting the found value back into the original equation to verify that it satisfies the equation. This step confirms that the solution is correct and that no arithmetic or algebraic mistakes have been made during the problem-solving process.

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