Question

14. Cost of notebook is twice the cost of pen. Write a linear equation in two variables to represent
this statement (take cost of notebook as x rs and pen to be y rs).
​

Answer 1

Answer :

• x - 2y = 0 is Linear equation in two variables

Given :

• Cost of notebook is twice the cost of pen

To find :

• Linear equation in two variables

Solution :

Given,

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

And also Given that cost of notebook is twice the cost of pen so,

》Cost of notebook = 2 × cost of pen

Where,

• Cost of notebook is x
• Cost of pen is y

》x = 2 × y

》x = 2y

Now, Linear equation in two variables:

》x - 2y = 0

Hence , x - 2y = 0 is Linear equation in two variables

Answer 2

Given : Cost of notebook is twice the cost of pen.

Find : Linear equation in two variables.

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☯ Let the cost of a notebook be Rs x.

☯ And the cost of pen be Rs y.

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It is given that :

• $\sf{Cost\:of\:notebook\:=\:2\:\times\:Cost\:of\:Pen}$

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$\:\:\:\:\:\:\dashrightarrow\:\sf{x\:=\:2y}$

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$\:\:\:\:\:\:\dashrightarrow\:\sf{x\:-\:2y\:=\:0}$

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$\:\therefore\:{\underline{\sf{Hence,\:the\:linear\:equation\:in\:two\:variables\:is\:{\textsf{\textbf{x\:-\:2y\:=\:0}}}}}}.$

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