The cost of a notebook is twice the cost of a pen. Write a linear equation in two variables to represent this statement. (Take the cost of a notebook to be ₹ x and that of a pen to be ₹ y).

Solution:

• Let the cost of one notebook be ₹ x
• Let the cost of one pen be ₹ y

Therefore, we can write the required linear equation in two variables considering the given information as,

Cost of notebook = 2 × Cost of pen

⇒ x = 2y

Since any linear equation in two variables is expressed as: ax + by + c = 0,

∴ x - 2y = 0 is the required linear equation in two variables which represents the given information.

☛ Check: NCERT Solutions for Class 9 Maths Chapter 4

Video Solution:

The cost of a notebook is twice the cost of a pen. Write a linear equation in two variables to represent this statement. (Take the cost of a notebook to be ₹ x and that of a pen to be ₹ y).

NCERT Solutions Class 9 Maths Chapter 4 Exercise 4.1 Question 1

Summary:

If the cost of a notebook is twice the cost of a pen, then a linear equation in two variables to represent this statement is x - 2y = 0.

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