Rajiya and Preethi two students of Class IX together collected ₹ 1000 for the Prime Minister Relief Fund for victims of natural calamities. Write a linear equation and draw a graph to depict the statement.
Given that together Rajiya and Preethi collected Rs.1000.
Now, Let the amount collected by Rajiya be Rs. x and by Preethi be Rs. y.
∴ the linear equation will be-
⇒ x + y = 1000
For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.
(Note: ∵ equation is linear graph will always be straight line.)
Table of solutions for the given equation-

GRAPH:

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