Chapter 1: Q31. (page 49)

Solve each equation or formula for the specified variables
$A x + B y = C$ for x

Short Answer

Expert verified

The value of x for equation $A x + B y = C$ is $\frac{C - B y}{A}$ .

Step by step solution

- Order for simplification

To evaluate any expression involving more than one operation, follow the below order of operations:

The expression can be converted into algebraic expression by using the algebra, to find the value of unknown variable.
Use the equality properties to solve equation.

- Subtract by By on both sides

To evaluate given expression, first subtract the term $B y$ from both the sides.

$\begin{matrix} A x + B y - B y = C - B y \\ A x = C - B y \end{matrix}$

– Divide by A

To simplify further divide the equation .

$\begin{matrix} \frac{A x}{A} = \frac{C - B y}{A} \\ x = \frac{C - B y}{A} \end{matrix}$

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 each equation or formula for the specified variables
$A x + B y = C$ for x

Short Answer

Step by step solution

- Order for simplification

- Subtract by By on both sides

– Divide by A

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Geometry

Logic and Functions

Decision Maths

Pure Maths

Calculus

Study anywhere. Anytime. Across all devices.

Solve each equation or formula for the specified variablesAx+By=Cfor x

Short Answer

Step by step solution

- Order for simplification

- Subtract by By on both sides

– Divide by A

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Geometry

Logic and Functions

Decision Maths

Pure Maths

Calculus

Study anywhere. Anytime. Across all devices.

Solve each equation or formula for the specified variables
$A x + B y = C$ for x