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 $Rs.\ 100$.
$\therefore\ $$x + y = 100$
This is the linear equation satisfying the given data.
$x + y = 100 \Rightarrow y = 100 - x$
When, $x = 10, y = 100 - 10 = 90$
When, $x = 40, y = 100 - 40 = 60$
When, $x = 60, y = 100 - 60 = 40$
Thus, the points on the line $x + y = 100$ are as given in the following tabel:
Plotting the points $(10, 90), (40, 60)$ and $(60, 40)$ and drawing a line passing through these points, we obains the graph of the line $x + y = 100$. 
Total contribution of $A$ and $B = Rs.\ x + Rs.\ y = Rs.\ (x + y)$
It is given that the total contribution of $A$ and $B$ is $Rs.\ 100$.
$\therefore\ $$x + y = 100$
This is the linear equation satisfying the given data.
$x + y = 100 \Rightarrow y = 100 - x$
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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