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Question:

Yamini and Fatima, two students of Class IX of a school, together contributed Rs. 100 towards the Prime Minister's Relief Fund to help the earthquake victims. Write a linear equation which satisfies this data. (You may take their contributions as Rs. x and Rs. y.) Draw the graph of the same.

Solution:

Let the contribution of Yamini be x and that of Fatima be y.
According to the problem, x + y = 100.. (1)
Now, putting the value x = 0 in (1)
0 + y = 100
y = 100
So, the solution is (0, 100)
Putting the value x = 50 in (1)
50 + y = 100
y = 100 – 50
y = 50
So, the solution is (50, 50)
Putting the value x = 100 in (1)
100 + y = 100
y = 100 – 100
y = 0
So, the solution is (100, 0)