Answer:
Linear equation to represent the total cost:
Let x be the number of kgs of tomatoes Mail bought, and y be the number of kgs of potatoes Mail bought. The cost of x kgs of tomato at Rs. 50 per kg is 50x, and the cost of y kgs of potato at Rs. 20 per kg is 20y. Therefore, the total cost of the vegetables is:
Total cost = 50x + 20y
Substituting the value of total cost as Rs. 200, we get:
50x + 20y = 200
This is the required linear equation to represent the total cost.
Finding the value of x:
Let's assume that Mail bought x kgs of tomato and 2.5 kgs of potato. Using the equation derived above:
50x + 20(2.5) = 200
Simplifying the equation:
50x + 50 = 200
50x = 150
x = 3
Therefore, Mail bought 3 kgs of tomato.
Finding the point at which the graph of 5x+2y=20 cuts x-axis:
To find the point at which the graph of 5x+2y=20 cuts the x-axis, we need to set y = 0 in the equation and solve for x:
5x + 2(0) = 20
5x = 20
x = 4
Therefore, the point where the graph of 5x+2y=20 cuts the x-axis is (4,0).