Chapter 3: Q63. (page 122)

Write each equation in standard form. Identify A, B, and C.
$63 . 6 x = 3 y - 9$

Short Answer

Expert verified

The standard form of the equation is $2 x - y = - 3$ and $A = 2, B = - 1, C = - 3$ .

Step by step solution

Step-1 – Apply the concept of Standard form of equation

Any linear equation with variables xand ycan be expressed in the standard form as:

$A x + B y = C$

Where A, B, and C are all integers with greatest common factor as 1.

Step-2 – Convert the equation into standard form

Consider the given equation.

$6 x = 3 y - 9$

To convert it into standard form, subtract 3yon both sides of equation and divide whole equation by 3.

$\begin{matrix} 6 x - 3 y = 3 y - 9 - 3 y \\ 6 x - 3 y = - 9 \\ 2 x - y = - 3 \end{matrix}$

Thus, the standard form of the equation is $2 x - y = - 3$ .

Step-3 – Identification of A, B, and C

Comparing $2 x - y = - 3$ with standard form $A x + B y = C$ , we get

$\begin{array}{l} A = 2 \\ B = - 1 \\ C = - 3 \end{array}$

Hence, the standard form of the equation is $2 x - y = - 3$ and $A = 2, B = - 1, C = - 3$ .

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.

Write each equation in standard form. Identify A, B, and C.
$63 . 6 x = 3 y - 9$

Short Answer

Step by step solution

Step-1 – Apply the concept of Standard form of equation

Step-2 – Convert the equation into standard form

Step-3 – Identification of A, B, and C

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Decision Maths

Applied Mathematics

Calculus

Discrete Mathematics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Write each equation in standard form. Identify A, B, and C.63. 6x=3y-9

Short Answer

Step by step solution

Step-1 – Apply the concept of Standard form of equation

Step-2 – Convert the equation into standard form

Step-3 – Identification of A, B, and C

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Decision Maths

Applied Mathematics

Calculus

Discrete Mathematics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Write each equation in standard form. Identify A, B, and C.
$63 . 6 x = 3 y - 9$