Answer :

Let the cost of pencils be x and cost of pens be y.


The linear equations formed are:


5x + 7y = 195 … (1)


7x + 5y = 153 … (2)


We know that the general form for a pair of linear equations in 2 variables x and y is a1x + b1y + c1 = 0


and a2x + b2y + c2 = 0.


Comparing with above equations,


we have a1 = 5, b1 = 7, c1 = - 195; a2 = 7, b2 = 5, c2 = - 153


We can solve by cross multiplication method using the formula



Substituting values in the formula, we get





and


x = 4 and y = 25


The cost of each pencil is Rs.4 and cost of each pen is Rs.25.


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