What is the solution of the proportion? 3y - 8/12 = y/5

Question:

What is the solution of the proportion? {eq}3y - 8/12 = y/5 {/eq}

Proportion

When two ratios are equal, they are said to be in proportion to each other. For example, the ratios 1:2 and 2:4 are proportional and can be written as 1:2::2:4. Proportions are a great way of showing a relationship between two ratios.

Answer and Explanation:


The solution can be found by solving the equation given.

$$\begin{align} 3y-\frac{8}{12}&=\frac{y}{5}\\ 3y+\frac{y}{5}&=\frac{2}{3}\\ \frac{15y+y}{5}&=\frac23\\ \frac{16y}{5}&=\frac 23\\ y&=\frac{2}{3}*\frac{5}{16}\\ y&=\frac{5}{24} \end{align} $$


Learn more about this topic:

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What is a Proportion in Math? - Definition & Practice Problems

from High School Algebra I: Help and Review

Chapter 23 / Lesson 15
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