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We are given two objects, a ball pen and fountain pen. We can assign any two variables to the cost of ball pen and cost of fountain pen

Let \[{\text{x = }}\] cost of fountain pen

And let \[{\text{y = }}\] cost of ball pen

According to the question, half of the cost of fountain pen minus 5 gives the cost of a ball pen. Writing this in terms of variables, we get,

${\text{y = }}\dfrac{{\text{x}}}{{\text{2}}}{\text{ - 5}}$

Rearranging the equation, we get

$

{\text{y + 5 = }}\dfrac{{\text{x}}}{{\text{2}}} \\

{\text{2y + 10 = x}} \\

$

Therefore,