Q6 of 58 Page 44

Let us express the following statements into simultaneous linear equations and solve them graphically.

A boat covers 96 km. in 16 hrs. while travelling downstream and it covers 16 km. in 8 hrs. while travelling upstream. Let us write the speed of the boat in still water and the speed of the stream by solving graphically.

Let us suppose the speed of the boat in still water = x km/hr. and the speed of the stream = y


km/hr.


the speed of the boat in downstream = (x + y) km/hr.




x + y = 6 ………(1)


Putting different values of x, we get different values of ‘y’, hence we get points for plotting as:



the speed of the boat in upstream = (x – y) km/hr.



x - y = 2 ……….(2)


Putting different values of x, we get different values of ‘y’, hence we get points for plotting as:




Boat’s speed in still water is 4km/hr and stream speed is 2km/hr.


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6

Let us express the following statements into simultaneous linear equations and solve them graphically.

If 3 is subtracted from numerator and 2 added to the denominator, the fraction will be and if 4 is subtracted from numerator and 2 is subtracted from denominator, the fraction will be . Let us construct the equation of the statement and write the fraction by solving graphically.

 6

Let us express the following statements into simultaneous linear equations and solve them graphically.

The perimeter of Rohit’s rectangular garden is 60m. If the length of the garden is increased by 2m and breadth is decreased by 2m, the area of the garden decreased by 24 sq.m. Let us write the length and breadth of the garden by solving graphically.

 7

Let us draw the graph of the following simultaneous linear equations and determine the coordinates of the point of intersection.

x = 0 and 2x + 3y = 15

 7

Let us draw the graph of the following simultaneous linear equations and determine the coordinates of the point of intersection.

y = 5 and 2x + 3y = 11