Question

Solve each equation, and check the solution. $$ x-8.4=-2.1 $$

   Solve each equation, and check the solution.
$$
x-8.4=-2.1
$$

Beginning Algebra

Beginning Algebra

John Hornsby; Terry… 13th Edition

Chapter 2, Problem 19

Instant Answer

Solved by Expert Matt Gibson

06/18/2020

Step 1

4 to both sides of the equation to isolate x. x - 8.4 + 8.4 = -2.1 + 8.4 Show more…

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Solve each equation, and check the solution. $$ x-8.4=-2.1 $$

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Key Concepts

Checking Solutions

Checking solutions involves substituting the found value back into the original equation to verify that it satisfies the equation. This step ensures accuracy and confirms that no errors were made during the manipulations of the equation.

Linear Equations

Linear equations are algebraic expressions where the highest power of the variable is one. They represent straight lines when graphed and are solved by finding the value of the variable that makes the equation true. These equations form the basis for more complex algebraic formulations and problem-solving techniques.

Isolating the Variable

Isolating the variable is the process of performing algebraic operations to rearrange an equation so that the variable of interest is alone on one side. This typically involves using addition, subtraction, multiplication, or division in a balanced way to maintain equality.

Inverse Operations

Inverse operations refer to the mathematical procedures that undo each other, such as addition and subtraction or multiplication and division. They are essential for solving equations because they allow you to systematically reverse operations applied to the variable, thereby isolating it.

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