Question

example 2) Romela went to a stationery
Shop and pueshased 2 pencils and 3
reasers for Rs.g her friend Sonale
saw the new variety of pencils and
exasers with Romila Д
bought a pencils and to eraseus of the
for
kepresent
Situation algebrically wind igsoplically.
s​

Answer 1

hi I can solve it

Step-by-step explanation:

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Answer 2

Answer:

Step-by-step explanation:

Let the cost of one pencil = Rs. x

Let the cost of one eraser = Rs. y

Romila purchases 2 pencils and 3 erasers for Rs. 9  

Cost of 2 pencils = 2x

Cost of 3 erasers = 3y

Total Cost = Rs. 9

So, we have:

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

Sonali purchases 4 pencils and 6 erasers for Rs 18.  

Cost of 4 pencils = 4x

Cost of 6 erasers = 6y

Total Cost = 18

So, we have:

4x + 6y = 18

So, 2(2x + 3y) = 18

So, 2x + 3y = 9 ----(2)

Here, we see that both (1) and (2) are the same equation, which is:

This single equation has Infinitely Many Solutions, as it is a linear equation in two variables.  

We can put any value of x, and find the corresponding value of y.  

However, since x and y refer to Costs, we can only take positive values. We still can have infinite solutions.

For example,  

If Cost of 1 pencil = Rs. 3 = x

Then

So, If Cost of one pencil = Rs. 3,

Then Cost of one eraser = Rs. 1

Similarly, we can take other values of one variable, and find corresponding values of other variable.

Hope it helps

Sshail

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