Question

Solve each equation. $$ 0.5 t+3.5-2.5 t=1.5 t $$

   Solve each equation. 
$$
0.5 t+3.5-2.5 t=1.5 t
$$

Algebra 1 Common Core

Algebra 1 Common Core

Randall I.… 1st Edition

Chapter 3, Problem 76

Instant Answer

Solved by Expert Heather Zimmers

03/25/2020

Step 1

5t - 2.5t + 3.5 = 1.5t$$ This simplifies to: $$-2t + 3.5 = 1.5t$$ Show more…

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Solve each equation. $$ 0.5 t+3.5-2.5 t=1.5 t $$

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Key Concepts

Isolating the Variable

Isolating the variable means rearranging the terms in an equation so that the variable of interest is on one side of the equation by itself. This step-by-step process often involves performing the same operation (such as addition, subtraction, multiplication, or division) on both sides of the equation to ensure that the equality is maintained. Once the variable is isolated, it becomes straightforward to compute its value.

Linear Equations

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 graphically represents a straight line and is characterized by variables raised only to the first power. Solving linear equations involves finding the value of the variable that makes the equation true.

Combining Like Terms

Combining like terms is a key algebraic process used to simplify equations. It involves merging terms that have the same variable components into a single term, thereby reducing the complexity of the equation. This process helps in isolating variables and simplifying the calculations required to solve the equation.

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