1. 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 [tex]₹ x[/tex] and that of a pen to be [tex]₹ y[/tex]).

Equation: [tex] x = 2y [/tex]



Answer :

To represent the given statement mathematically, let's define the variables first:
- Let [tex]\( x \)[/tex] be the cost of a notebook in rupees.
- Let [tex]\( y \)[/tex] be the cost of a pen in rupees.

According to the problem statement, the cost of a notebook is twice the cost of a pen. Mathematically, this relationship can be expressed as:

[tex]\[ x = 2y \][/tex]

This is the required linear equation in two variables that represents the given statement: "The cost of a notebook is twice the cost of a pen."