Question

Yamini and Fatima,two students of class IX of a school,together contributed Rs.100 towards the prime minister's Relif Fund to help the earthquake victims.Write a linear equation which satisfies this data.(You may take their contributions as Rs.x and Rs.y)Draw the graph of the same

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Answer 1

Given :

• Yamini and Fatima together contributed Rs.100 .

To Find :

• A linear equation and draw its graph .

Solution :

$\longmapsto\tt{Let\:the\:contribution\:of\:Yamini=x}$

$\longmapsto\tt{Let\:the\:contribution\:of\:Fatima=y}$

A.T.Q :

$\longmapsto\tt{x+y=100}$

Putting x = 0 :

$\longmapsto\tt{0+y=100}$

$\longmapsto\tt\bf{y=100}$

Similarly ,

Putting y = 0 :

$\longmapsto\tt{x+0=100}$

$\longmapsto\tt\bf{x=100}$

Answer 2

$\sf \red{Yamini}$ $\sf \green{(x)}$

$\sf \red{Fatima}$ $\sf \green{(y)}$

$\sf \red{Total}$=$\sf \green{100₹}$

$\sf \purple{---------------}$

$\sf \red{Equation}$=$\sf \green{x+y=100}$

$\sf \pink{---------------}$

1)$\sf \red{y}$=$\sf \green{100-x}$

$\sf \red{y}$=$\sf \green{100-10}$

$\sf \red{y}$=$\sf \green{90}$

$\sf \purple{---------------}$

2)$\sf \red{y}$=$\sf \green{100-x}$

$\sf \red{y}$=$\sf \green{100-20}$

$\sf \red{y}$=$\sf \green{80}$

$\sf \pink{---------------}$

$\sf \red{y}$=$\sf \green{100-x}$

$\sf \red{y}$=$\sf \green{100-30}$

$\sf \red{y}$=$\sf \green{70}$

$\sf \purple{---------------}$

Hence we get is,

$\bf\color{magenta}{x-}$ 10 20 30

$\bf\color{magenta}{y-}$ 90 80 70

$\sf \pink{---------------}$

Graph is shown in the attachment.

ㅤㅤㅤㅤㅤ$\bf\color{magenta}{@℘o℘ularStar}$