Question

Solve for the indicated variable. $$ -3(4 t-5)=5(6-2 t) $$

   Solve for the indicated variable.
$$
-3(4 t-5)=5(6-2 t)
$$

Algebra and Trigonometry

Algebra and Trigonometry

Cynthia Y. Young 4th Edition

Chapter 1, Problem 21

Instant Answer

Solved by Expert Amy Jiang

06/30/2020

Step 1

$$ -12t + 15 = 30 - 10t $$ Show more…

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Solve for the indicated variable. $$ -3(4 t-5)=5(6-2 t) $$

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Key Concepts

Solving Linear Equations

Solving linear equations involves performing a series of algebraic manipulations to isolate the variable on one side of the equation. It is a fundamental process in algebra that includes applying the distributive property, combining like terms, and using inverse operations.

Inverse Operations

Inverse operations, such as using addition to undo subtraction or division to undo multiplication, are used to isolate the variable. Recognizing and applying these operations systematically helps in solving algebraic equations.

Combining Like Terms

Combining like terms involves simplifying expressions by summing or subtracting terms that have the same variable components. This is an essential technique to simplify equations and facilitate the isolation of the variable.

Distributive Property

The distributive property allows you to multiply a factor over a sum or difference inside parentheses. It is used to eliminate parentheses by distributing the multiplication over each term inside, a common first step in solving linear equations.

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