Chapter 2: Q. 2 (page 215)

In the following exercise, determine whether the given value is a solution to the equation.
$Isx = \frac{9}{4} asolutionof4x + 9 = 8 x ?$

Short Answer

Expert verified

The given equation have the solution at $x = \frac{9}{4}$

Step by step solution

Step 1. Given information

Given equation is $4 x + 9 = 8 x$

We have to determine whether the given value is a solution to the equation. $Isx = \frac{9}{4} asolutionof4x + 9 = 8 x ?$

Step 2. Explanation

$\begin{array}{l} Sinceasolutiontoanequationisavlaueofthevariablethatmakestrue, \\ Beingbysubstitutingthevalueofthesolutionofrthevariable. \\ Substitutex= \frac{9}{4} forx \\ \Rightarrow 4x + 9 = 8 x \\ \Rightarrow 4(\frac{9}{4}) + 9 = 8 (\frac{9}{4}) \\ \Rightarrow \frac{9}{}) + 9 = 8 (\frac{9}{4}) \\ \Rightarrow 1 (9) + 9 = 2 (9) Multiply \\ \Rightarrow 9 + 9 = 18 \\ \Rightarrow 18 = 18 \\ Sincex= \frac{9}{4} resultstrue. \\ \Rightarrow x= \frac{9}{4} isasolutiontothegivenequation \end{array}$

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In the following exercise, determine whether the given value is a solution to the equation.
$Isx = \frac{9}{4} asolutionof4x + 9 = 8 x ?$

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.Isx=94asolutionof4x+9=8x?

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.
$Isx = \frac{9}{4} asolutionof4x + 9 = 8 x ?$