Question

Solve each equation. $$ 0.35(u+0.34)-0.15 u=0.2 u-1.66 $$

   Solve each equation.
$$
0.35(u+0.34)-0.15 u=0.2 u-1.66
$$

Precalculus

Raymond A. Barnett,… 7th Edition

Chapter 1, Problem 22

Instant Answer

Solved by Expert Erika Bustos

07/17/2021

Step 1

35 to both terms in the parentheses: $$ 0.35u + 0.35 \times 0.34 - 0.15u = 0.2u - 1.66 $$ This simplifies to: $$ 0.35u + 0.119 - 0.15u = 0.2u - 1.66 $$ Show more…

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Solve each equation. $$ 0.35(u+0.34)-0.15 u=0.2 u-1.66 $$

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Key Concepts

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. Solving linear equations involves finding the value of the variable that makes both sides of the equation equal, and the result is typically a single unique solution.

Distributive Property

The distributive property allows you to multiply a quantity by each term inside a set of parentheses. This property is crucial when simplifying expressions where a factor multiplies a sum or difference, ensuring that all parts of the expression are properly accounted for.

Combining Like Terms

Combining like terms means merging terms in an algebraic expression that have the same variable components. This technique simplifies the expression by reducing the number of terms, making it easier to isolate the variable and solve the equation.

Arithmetic with Decimals

Handling arithmetic with decimals is essential in many algebraic problems. This involves precise operations including addition, subtraction, multiplication, and division with decimal numbers, ensuring that the decimal positions are accurately aligned for correct calculations.

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