# 5 pencils and 7 pens together cost Rs. 195 while 7 pencils and 5 pens together cost Rs. 153.Find the cost of each one of the pencil and the pen.

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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