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Question

Two students A and B contributed Rs 100 towards the prime Minister's Relief fund to help the earthquake victims. Write the linear equation to satisfy the above data and draw its graph 


Solution

Consider the amount contributed by two students $$A$$ and $$B$$ is Rs $$X$$ and $$y$$. 
 Total amount acontributed by both A and B $$= Rs 100$$
 $$x + y = 100$$
 we can write it as
 $$y = 100 - x$$
 Substituting $$x = 25$$ in the given equation
 $$y = 100-25=75$$
 $$y=75$$
 So we get
 Substituting $$x = 50$$ in the given equation
 $$y = 100-50$$
 so we get
 $$y = 50$$
 
x   25    50
y   7550
 Now draw a graph using the points $$A (25,75)$$ and $$B (50,50)$$
 Join the points $$AB$$ through a line and extend in both the directions.

1538852_1715517_ans_0a5fcb8fc266490fb00f430834d863f2.PNG

Mathematics
RS Agarwal
Standard IX

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