Chapter 2: Q. 1 (page 215)

In the following exercise, determine whether the given value is a solution to the equation.
$Is y = \frac{5}{3} asolutionof 6 y + 10 = 12 y ?$

Short Answer

Expert verified

Yes

Step by step solution

Step 1. Given information

In the following exercise, determine whether the given value is a solution to the equation.

Is y = \frac{5}{3} asolutionof 6 y + 10 = 12 y ?

Step 2. Explanation

$\begin{array}{l} Sinceasolutiontoanequationisavlaueofthevariablethatmakestrue, \\ Beingbysubstitutingthevalueofthesolutionofrthevariable. \\ Substitutey= \frac{5}{3} fory \\ \Rightarrow 6 y + 10 = 12 y \\ \Rightarrow 6 (\frac{5}{3}) + 10 = 12 (\frac{5}{3}) \\ \Rightarrow 6 (\frac{5}{3}) + 10 = 12 (\frac{5}{3}) \\ \Rightarrow 2 (5) + 10 = 4 (5) Multiply \\ \Rightarrow 10 + 10 = 20 \\ \Rightarrow 10 + 10 = 20 \\ Sincey= \frac{5}{3} resultstrue. \\ \Rightarrow y= \frac{5}{3} isasolutiontothegivenequation \end{array}$

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In the following exercise, determine whether the given value is a solution to the equation.
$Is y = \frac{5}{3} asolutionof 6 y + 10 = 12 y ?$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Explanation

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In the following exercise, determine whether the given value is a solution to the equation.Isy=53asolutionof6y+10=12y?

Short Answer

Step by step solution

Step 1. Given information

Step 2. Explanation

One App. One Place for Learning.

Most popular questions from this chapter

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In the following exercise, determine whether the given value is a solution to the equation.
$Is y = \frac{5}{3} asolutionof 6 y + 10 = 12 y ?$