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.
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Answered by
8
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.
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.
Answered by
1
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
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