# Answer to Question #32919 in Linear Algebra for Ankita Neogi

Question #32919

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

Expert's answer

Let x is the cost of each pencil, and y is the cost of each pen.

Then 5x + 7y = 195 and 7x + 5y = 153.

Solve this system of equations.

35x + 49y = 1365

35x + 25y = 765

24y = 600

y = 25

5x + 7*25 = 195

5x = 20

x = 4;

Answer: pencil costs Rs. 4, pen costs Rs. 25.

Then 5x + 7y = 195 and 7x + 5y = 153.

Solve this system of equations.

35x + 49y = 1365

35x + 25y = 765

24y = 600

y = 25

5x + 7*25 = 195

5x = 20

x = 4;

Answer: pencil costs Rs. 4, pen costs Rs. 25.

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