Chapter 6: Q12. (page 274)

Solve the equation.
$\frac{1}{4} x - \frac{3}{8} = 9$

Short Answer

Expert verified

The solution of $\frac{1}{4} x - \frac{3}{8} = 9$ is $x = \frac{75}{4}$ .

Step by step solution

. Given

The given equation is $\frac{1}{4} x - \frac{3}{8} = 9$ .

. To determine

We have to solve the equation $\frac{1}{4} x - \frac{3}{8} = 9$ .

. Calculation

To solve the equation, we try to get x alone on a side:

$\begin{matrix} \frac{1}{4} x - \frac{3}{8} = 9 \\ \frac{1}{4} x = 9 + \frac{3}{8} [groupliketerms] \\ \frac{1}{4} x = \frac{72 + 3}{8} [writesumofnumeratoroverdenominator] \\ \frac{1}{4} x = \frac{75}{8} [add] \\ x = \frac{75}{4} [multiplybothsidewith4] \end{matrix}$

So, the solution of the equation $\frac{1}{4} x - \frac{3}{8} = 9$ is $x = \frac{75}{4}$ .

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Solve the equation.
$\frac{1}{4} x - \frac{3}{8} = 9$

Short Answer

Step by step solution

. Given

. To determine

. Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Geometry

Decision Maths

Theoretical and Mathematical Physics

Mechanics Maths

Logic and Functions

Study anywhere. Anytime. Across all devices.

Solve the equation.14x−38=9

Short Answer

Step by step solution

. Given

. To determine

. Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Geometry

Decision Maths

Theoretical and Mathematical Physics

Mechanics Maths

Logic and Functions

Study anywhere. Anytime. Across all devices.

Solve the equation.
$\frac{1}{4} x - \frac{3}{8} = 9$