Question

Solve each proportion. $$\frac{3 z+10}{14}=\frac{2}{7}$$

   Solve each proportion.
$$\frac{3 z+10}{14}=\frac{2}{7}$$

Beginning and Intermediate Algebra

Beginning and Intermediate Algebra

Sherri Messersmith 3rd Edition

Chapter 3, Problem 37

Instant Answer

Solved by Expert Debasish Das

03/01/2021

Step 1

This means we multiply the numerator of the first fraction by the denominator of the second fraction and set it equal to the product of the denominator of the first fraction and the numerator of the second fraction. This gives us: \[7(3z + 10) = 2(14)\] Show more…

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Solve each proportion. $$\frac{3 z+10}{14}=\frac{2}{7}$$

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Key Concepts

Linear Equations

A linear equation is an equation in which the variable is raised only to the first power. Solving linear equations involves simplifying the equation to isolate the variable, thereby determining its value.

Cross-Multiplication

Cross-multiplication is a technique used to solve proportions by eliminating the denominators. This method involves multiplying each numerator by the opposite denominator to form an equation that is easier to solve.

Proportion

A proportion is an equation that states that two ratios are equal. Understanding proportions is important for relating different quantities and ensuring that the relationship between them remains constant.

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