The cost of 5 pencils is equal to the cost of 2 ballpoints.
Question:

The cost of 5 pencils is equal to the cost of 2 ballpoints. Write a linear equation in two variables to represent this statement. (Take the cost of a pencil to be ₹ x and that of a ballpoint to be ₹ y).

Solution:

Let cost of a pencil to be ₹ x and that of a ballpoint to be ₹ y.
Cost of 5 pencils = 5x
Cost of 2 ballpoints = 2y
Cost of 5 pencils = cost of 2 ballpoints

$\Rightarrow 5 x=2 y$

$\Rightarrow 5 x-2 y=0$

 

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