The cost of ball pen is Rs. 5 less than half of the cost of fountain pen. Write this statement as a linear equation in two variables.

Given :

The cost of ball pen is Rs. 5 less than half of the cost of fountain pen.

To do :

We have to write the given statement as a linear equation in two variables.

Solution :

Let the cost of the fountain pen be $Rs.\ x$ and the cost of the ball pen be $Rs.\ y$.

According to the question,

The cost of the ball pen $y= \frac{x}{2}-5$

$\Rightarrow y+5=\frac{x}{2}$

$\Rightarrow 2(y+5)=2(\frac{x}{2})$

$\Rightarrow 2y+10=x$

$\Rightarrow x-2y-10=0$

Therefore, the given statement as a linear equation in two variables is $x-2y-10=0$.

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Updated on: 10-Oct-2022

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