Question

Yamini and Fatima two students of class 9 school together contribute Rs.100 towards Prime Minister's Relief Fund to help earthquake victims.Write a linear equation which statistics this data.

Answer 1

Let the yamini contribute =x
Let the Fatima contribute =y



Equation formed as

x+y=100

Answer 2

Answer:

Let the contributions of Yamini and fatima be Rs x and y respectively. Then their total contributions is Rs (x+y) . But, the total contribution is Rs 100 (given)..

$\therefore$$\sf\qquad{x+y=100}$

This is the required equation satisfying the given data :

Putting x = 0 in (i), we get y = 100.

Thus, we obtain the following table exhibiting the coordinates of two points on line (i).

$\sf\qquad{\:x\:\:\:\:\:\:\:\:\:\:|\:\:\:\:\:\:\:\:\:\:\:\:0\:\:\:\:\:\:\:\:\:\:\:\:|\:\:\:\:\:\:\:\:\:100}$

$\sf\qquad{\:y\:\:\:\:\:\:\:\:\:\:|\:\:\:\:\:\:\:\:\:100\:\:\:\:\:\:\:\:\:\:|\:\:\:\:\:\:\:\:\:0}$

Now, plot these points A (0,100) and B (100,0) on the graph paper on a suitable scale (1cm = 20, say) and draw the line passing through A and B. The line so obtained is the graph of the line x + y = 100 ..