Question

Nina and Meena want to buy pens and books Nina wants 2 pens and 5 books while Meen; wants 6 pens and 8 books. They both go to a shop and buy them. When the shopkeeper gives them the pens and the books Nina pays him ₹110 and Meena pays him ₹190. Find the prices of one pen and one book using matrices.

Answer 1

Let the cost of one pen be x and cost of one book be y.

A.T.Q

2x+5y=110..............(1)
6x+8y=190.............(2)
By elimination.
multiplying 6 in equ. 1
and multiplying by 2 in equ. 2

12x+30y= 660....1 ( on subtracting 2 from 1)
12x+16y=380........(2)

14y= 280
y=280/14
y=20

putting the value of y in equ. 1
2x+5y=110
2x+5(20)=110
2x+100=110
2x=110-100
2x=10
x=5

Therefore one pen cost Rs. 5 and one book cost Rs. 20.

Answer 2

Answer:

Step-by-step explanation:

Let Price of one pen is x₹

&Price of one book is y₹

According to the first condition

2x+5y=110............1)

According to second condition

6x+8y=190......2)

{2. 5). (X). =(110)

(6. 8) (y). =(190)

R2-----2R2-R1

By solving this,

We get

2x+5y=110

14y=280

Y=20

X=5

Hope this help you buddy please mark me as brainliest