Question

if the cost of 2 pencils and 3 erasers is Rs.9 and the cost of 4 pencils and 6 erasers is Rs.18. Find the cost of each pencil and each erasers

Answer 1

Answer:

Let the cost of one pencil =Rsx

and cost of one eraser =Rsy

According to the question

2x+3y=9 ...(1)

4x+6y=18

⇒2(2x+3y)=18

⇒2x+3y=9...(2)

As we can see from Eq. (1) and (2)

⇒  

a  

2

​

 

a  

1

​

 

​

=  

b  

2

​

 

b  

1

​

 

​

=  

c  

2

​

 

c  

1

​

 

​

 

∴ Given pair of linear equations has indefinitely many solutions.