Question

Romila went to a stationery shop and purachased 2 pencils and 3 erasers for rupees 9. Her friend sonali saw the new variety of pencils and earsers with Romila, and she also bought 4 pencils and 6 earasers of the same kind for rupees 18. Represent this situation algebraically and graphically.​

Answer 1

Let the cost of one pencil =Rs.x

and cost of one eraser =Rs.y

Romila spent =Rs.9

Sonali spent =Rs.18

According to the question,

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

4x+6y=18 ....(2)

Now, table for 2x+3y=9

Now, table for 4x+6y=18

On plotting points on a graph paper and join them to get a straight line representing 2x+3y=9.

Similarly, on plotting the points on the same graph paper and join them to get a straight line representing 4x+6y=18

Here, we can see that both the lines coincide. This is so, because, both the equations are equivalent, i.e. 2(2x+3y)=2×9 equation (2) is derived from the other.

Answer 2

This is your answer

thank you