Question

Problem 10 / (Second Session 2006)
To buy two copybooks and one pen we must pay 2750 L. L, and to buy four copybooks and three pens we must

pay 7750 L. L. The preceding information is translated into the following system:(2x+y=2750
14x + 3y = 7750
1. What does x and y represent in this system?
2. Which information is translated by the equation 4x + 3y = 7750?
3. Solve the preceding system, showing the followed steps in detail, to find the price of a copybook and the price of a pen.​

Answer 1

Answer:

Find other solutions in explanation

x = 250

y = 1750

Step-by-step explanation:

x = cost per copybook

y = cost per pen

2. Sum of the cost of 4 copy books and 3 pen is equal to 7750

3.)

2x+y=2750 - - (1)

4x + 3y = 7750 - - - (2)

From (1)

y = 2750 - 2x

Substitute y = 2750 - 2x into (2)

4x + 3(2750 - 2x) = 7750

4x + 8250 - 6x = 7750

-2x = - 500

x = 500/2

x = 250

y = 2750 - 2(500)

y = 2750 - 1000

y = 1750