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Evaluate 2x+7y/30 for x=15 and y=3 write your final answer exactly as a fraction in lowest term

Question:

Evaluate {eq}2x+\frac{7y}{30} {/eq} for {eq}x=15 \ \text{and} \ y=3 {/eq}. write your final answer exactly as a fraction in lowest term.

Evaluating an Expression:

To evaluate an expression which is in terms of one or more variables at given values of variables, we just substitute the values of the variables in the given expression and simplify it.

Answer and Explanation:

The given expression is, {eq}2x+\dfrac{7y}{30} {/eq}.

Now substitute {eq}x=15 \text{ and }y=3 {/eq} in the above expression:

$$\begin{align} 2(15)+\dfrac{7(3)}{30} &= 30 + \dfrac{21}{30} \\[0.3cm] &= 30 + \dfrac{7}{10} & [ \text{The fraction is simplified by dividing both numbers by 3} ] \\[0.3cm] &= 30 \times \dfrac{10}{10} + \dfrac{7}{10} & [ \text{To make the denominators same} ]\\[0.3cm] &= \dfrac{300}{10}+ \dfrac{7}{10} \\[0.3cm] &= \boxed{\mathbf{\dfrac{307}{10}}} \\[0.3cm] \end{align} $$


Learn more about this topic:

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Evaluating Simple Algebraic Expressions

from ELM: CSU Math Study Guide

Chapter 6 / Lesson 3
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