Question

The cost of a notebook (x) exceeds twice the cost of pen (y) by rupees 10. this statement can be expressed as linear equation as :
i )x-2y-10=0
ii )2x-y-10=0
iii )2x+y-10=0
iv )x-2y+10=0​

Answer 1

The statement can be expressed as linear equation as x - 2y - 10 = 0

Given :

The cost of a notebook (x) exceeds twice the cost of pen (y) by rupees 10.

To find :

The statement can be expressed as linear equation as :

i) x - 2y - 10 = 0

ii) 2x - y - 10 = 0

iii) 2x + y - 10 = 0

iv) x - 2y + 10 = 0

Solution :

Solution :Step 1 of 2 :

Write down the given statement

Here the given statement is the cost of a notebook (x) exceeds twice the cost of pen (y) by rupees 10.

Step 2 of 2 :

Choose the correct option

The cost of a notebook = Rs. x

The cost of a pen = Rs. y

Now twice the cost of pen = 2y

By the given condition

x = 2y + 10

⇒ x - 2y - 10 = 0

Hence the correct option is i) x - 2y - 10 = 0

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