Question

"Question 7 Yamini and Fatima, two students of Class IX of a school, together contributed Rs 100 towards the Prime Minister’s Relief 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.

Class 9 - Math - Linear Equations in Two Variables Page 75"

Answer 1

X + Y = 100
X = Yamini's contribution
Y = Fatima's contribution

Answer 2

Method to draw the graph of linear equation in two variables:

 

1.Let the linear equation in two variables be ax+by+c=0

Write the linear equation and Express Y in terms of x.

Y=(-ax+c)/b......(1)

 2.Put put arbitrary value of x in equation 1 and find the corresponding values of y.

3.Form a table by writing the value’s of y to the corresponding values of x.

 

4.Draw the coordinates axes on graph paper and take a suitable scale to plot points from the table on graph paper.

5.Join the points and we get a straight line and produced it on both sides.

 

Hence, the straight line so obtained is the required graph of given linear equation.

 

It is enough to plot two points Corresponding to two solutions and join them by a line.

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Solution:

 

[Table and graph are on the attachment]

 

Let the contributions of Yamini and Fatima together towards the Prime Minister relief fund to help the earthquake victims are ₹X and ₹Y.

 

A.T.Q

X+y=100......(1)

Here,We plot the points B(0,100) & A(100,0) on  graph paper and join all these points to form a line AB.

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Hope this will help you......