Question

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

Answer 1

Formation of Linear Equation

Let us consider that Yamini and Fatima contributed $\mathrm{Rs}.\mathrm{x}$ and $\mathrm{Rs}.\mathrm{y}$ in the Prime Minister’s Relief Fund respectively.

Since Yamini and Fatima together contributed $\mathrm{Rs}.100$.

Therefore, a linear equation that satisfies this data is,

$x+y=100$

$$\begin{gathered} \mathrm{When}x=0,y=100 \\ \mathrm{When}y=0,x=100 \end{gathered}$$

By using points $(0,100)\mathrm{and}(100,0)$, the graph of the linear equation is shown below,

Hence, the linear equation is $x+y=100$ and the graph is shown.