Chapter 2: Q 2 (page 111)

In the following exercises, determine whether the given values are solutions to the equation.
$4 x + 9 = 8 x$
$x = - \frac{7}{8}$
$x = \frac{9}{4}$

Short Answer

Expert verified

$x = \frac{9}{4}$ issolution of the equation $4 x + 9 = 8 x$

Step by step solution

Step 1. Given information

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

Find the solution.

Step 2. Calculation

Combine like terms from the equation $4 x + 9 = 8 x$

$4 x - 8 x = - 9 - 4 x = - 9$

Divide by $- 4$ on both sides

$x = \frac{9}{4}$

so correct option is b. $\frac{9}{4}$

Step 3. Explanation for wrong solution

Substitute $x = - \frac{7}{8}$ in $4 x + 9 = 8 x$

$4 (- \frac{7}{8}) + 9 = 8 (- \frac{7}{8})$

So,

$- \frac{7}{2} + 9 = - 7 \frac{11}{2} \neq - 7$

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In the following exercises, determine whether the given values are solutions to the equation.
$4 x + 9 = 8 x$
$x = - \frac{7}{8}$
$x = \frac{9}{4}$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

Step 3. Explanation for wrong solution

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In the following exercises, determine whether the given values are solutions to the equation.4x+9=8xx=-78x=94

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

Step 3. Explanation for wrong solution

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Calculus

Applied Mathematics

Mechanics Maths

Theoretical and Mathematical Physics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

In the following exercises, determine whether the given values are solutions to the equation.
$4 x + 9 = 8 x$
$x = - \frac{7}{8}$
$x = \frac{9}{4}$