Alka and Noori, two students of class IX, together contributed Rs 500 towards Prime Minister’s Relief Fund to help earthquake victims. Write a linear equation which satisfies this data and draw the graph of the same. Find the value of a for which the equation 2x + ay = 5 has (1, –1) as a solution. Find two more soluiotns for the equation obtained. If the number of hours for which a labourer works is x and y are his wages (in rupees) and y = 2x – 1, draw the graph of the work-wages equation. From the graph, find the wages of the labourer if he works for 6 hours.
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1st Part
Let Alka's contribution be x
Noori's contribution y
x+y=500
2nd Part
Step-by-step explanation:
First we will find the value of a in the given equation
2x+ay=5
Where x=1 and y= - 1
2(1) +a(-1) =5
2-a=5
-a=5-2
-a=3
a=-3
Now we got equation 2x-3y=5
First step
Let y=3
2x -3(3)=5
2x-9=5
2x=5+9
2x=14
x=14/2
x=7
Second solution
Let y=1
2x-3(1) =5
2x-3=5
2x=5+3
2x=8
x=8/2
x=4
Therefore the two solutions are (7, 3) and (4, 1)
The Answer for the 3rd part is in the attachment.
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