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Yamini and Fatima, two students of Class IX of a school, together contributed ₹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 ₹ x and ₹ y.) Draw the graph of the same.

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Detailed Solution

Let the contribution of Yamini = ₹ x

and, the contribution of Fatima = ₹ y

Total contribution = ₹100

∴ x + y = 100

⇒ y = 100 – x

Now, For x = 0, y = 100 – 0 = 100

For x = 50, y = 100 – 50 = 50

For x = 100, y = 100 – 100 = 0

NCERT Solutions for Class 9 Maths Chapter 4 Linear Equations in Two Variables Ex 4.3 Q7

On plotting these points, we get a straight line PQ.

NCERT Solutions for Class 9 Maths Chapter 4 Linear Equations in Two Variables Ex 4.3 Q7.1

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