Question

Solve and check each equation. $$8=t+1$$

   Solve and check each equation. $$8=t+1$$

Beginning and Intermediate Algebra

Beginning and Intermediate Algebra

Sherri Messersmith 2nd Edition

Chapter 3, Problem 20

Instant Answer

Solved by Expert Caleb Elmore

06/30/2020

Step 1

Step 1: We start with the equation: \begin{equation} 8=t+1 \end{equation} Show more…

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Solve and check each equation. $$8=t+1$$

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Key Concepts

Linear Equations

A linear equation is an equation of the first degree, meaning that the variable is not raised to any power higher than one. These equations represent straight lines when graphed and generally have one solution that makes the equation true.

Properties of Equality

The properties of equality state that performing the same arithmetic operation on both sides of an equation maintains equality. These include operations such as addition, subtraction, multiplication, and division, which are essential tools for manipulating equations to isolate the variable.

Isolating the Variable

Isolating the variable involves rearranging an equation so that the unknown is on one side by itself. This is commonly achieved by applying inverse operations, such as subtracting or adding the same value to both sides, in order to solve for the variable.

Verification of Solutions

Verification of a solution means substituting the obtained value back into the original equation to check if it satisfies the equation. This is a crucial step in problem-solving to ensure that the solution is correct and that no mistakes have been made during the solving process.

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