Question

Solve the equation. $$ -2(t-5)=26 $$

Name: Problem 36, Chapter 7: Algebra 1: Concepts and Skills
Uploaded: 2021-06-02T23:55:28-08:00
Duration: 1 min 29 s
Channel: Dharmendra Jain
Description: Solve the equation. -2(t-5)=26

   Solve the equation.
$$
-2(t-5)=26
$$

Algebra 1: Concepts and Skills

Ron Larson, Laurie… 1st Edition

Chapter 7, Problem 36

Instant Answer

Solved by Expert Dharmendra Jain

06/02/2021

Step 1

Step 1: Start by distributing the -2 across the parentheses in the equation: $$ -2(t-5) = 26 $$ $$ -2 \cdot t + (-2) \cdot (-5) = 26 $$ $$ -2t + 10 = 26 $$ Show more…

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Solve the equation. $$ -2(t-5)=26 $$

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Key Concepts

Linear Equations

Linear equations are algebraic equations where the variable is raised only to the first power. They represent straight lines on a graph, and solving them involves finding the value of the variable that makes the equation true.

Distributive Property

The distributive property allows multiplication to be applied to terms inside parentheses, meaning that a factor multiplied by a sum or difference inside the parentheses is equal to the sum or difference of the individual products. This property is essential for eliminating parentheses and simplifying algebraic expressions.

Inverse Operations

Inverse operations are used to isolate the variable in an equation. They involve performing operations that 'undo' each other, such as using division to counteract multiplication or subtraction to counteract addition, ultimately leading to the solution of the equation.

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