Romila went to a stationary shop and purchased 2 pencils and 3 erasersfor Rs 9.Her friend sonali saw the new variety of pencils and erasers with Romila,and she also bought 4 pencils and 6 erasers of the same kind for Rs 18.Represent this situation algebraically and graphically.
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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.
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