Question
Two students A and B contributed Rs. 100 towards the prime Minister's Relief Fund to help the earthquake victims. Write a linear equation to satisfy the above data and draw its graph.
✓
Answer
Let: The contribution of A and B be Rs. x and Rs. y, respectively. Total contribution of A and B = Rs. x + Rs. y = Rs. (x + y) It is given that the total contribution of A and B is Rs. 100.
Plotting the points (10, 90), (40, 60) and (60, 40) and drawing a line passing through these points, we obains the graph of the line x + y = 100. 
$\therefore\ $x + y = 100
This is the linear equation satisfying the given data. x + y = 100 ⇒ y = 100 - x When, x = 10, y = 100 - 10 = 90 When, x = 40, y = 100 - 40 = 60 When, x = 60, y = 100 - 60 = 40 Thus, the points on the line x + y = 100 are as given in the following tabel:| x | 10 | 40 | 60 |
| y | 90 | 60 | 40 |
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