Question

The cost of a notebook is twice the cost of a pen. Write a linear equation in two variables to represent this statement.

Solution

Let the cost of a notebook be Rs x and the cost of a pen be Rs y.
Then, according to the given condition of the question,
x = 2y
⇒ x – 2y = 0
This is the required linear equation in two variables x and y.

Question

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Express the following linear equations in the form ax + by + c = 0 and indicate the values of a, b and c in each case:

$2 x plus 3 y equals 9.3 space top enclose 5$

Solution

$space space space space space space space 2 straight x plus 3 straight y equals 9.3 space top enclose 5 rightwards double arrow space space space space 2 straight x plus 3 straight y minus 9.3 space top enclose 5 space equals space 0$
Comparing with ax + by + c = 0, we get
a = 2, b = 3, c = $negative 9.3 space top enclose 5$

Question

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Express the following linear equations in the form ax + by + c = 0 and indicate the values of a, b and c in each case:

$straight x minus straight y over 5 minus 1 equals 0$

Solution

$straight x minus straight y over 5 minus 1 equals 0$
Comparing with ax + by +c = 0, we get
a = 1, b = $negative 1 fifth$ , c = - 10

Question

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Express the following linear equations in the form ax + by + c = 0 and indicate the values of a, b and c in each case:

- 2x + 3y = 6

Solution

- 2x + 3y = 6
$rightwards double arrow$ - 2x + 3y - 6 = 0
Comparing with ax + by + c = 0, we get
a = - 2, b = 3, c = -6

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Introduction to Euclid's Geometry

The cost of a notebook is twice the cost of a pen. Write a linear equation in two variables to represent this statement.

Express the following linear equations in the form ax + by + c = 0 and indicate the values of a, b and c in each case:

$2 x plus 3 y equals 9.3 space top enclose 5$

Express the following linear equations in the form ax + by + c = 0 and indicate the values of a, b and c in each case:

$straight x minus straight y over 5 minus 1 equals 0$

Express the following linear equations in the form ax + by + c = 0 and indicate the values of a, b and c in each case:

- 2x + 3y = 6

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Phone Number

Email Address

Loaction

For Daily Free Study Material Join wiredfaculty

WhatsApp Group

Download Android App

Ncert Book Download

Introduction to Euclid's Geometry

The cost of a notebook is twice the cost of a pen. Write a linear equation in two variables to represent this statement.

Express the following linear equations in the form ax + by + c = 0 and indicate the values of a, b and c in each case:

Express the following linear equations in the form ax + by + c = 0 and indicate the values of a, b and c in each case:

Express the following linear equations in the form ax + by + c = 0 and indicate the values of a, b and c in each case:- 2x + 3y = 6

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Express the following linear equations in the form ax + by + c = 0 and indicate the values of a, b and c in each case:

$2 x plus 3 y equals 9.3 space top enclose 5$

Express the following linear equations in the form ax + by + c = 0 and indicate the values of a, b and c in each case:

$straight x minus straight y over 5 minus 1 equals 0$

Express the following linear equations in the form ax + by + c = 0 and indicate the values of a, b and c in each case:

- 2x + 3y = 6