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J. The coach of a cricket team bltys 3 hats and oballs for t3900. Later, she buys anothaerLater, she buys anotherF 1300. Represent this situation algebraicallybat and 3 more balls of the same kind forand geometrically |
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Answer» Let the cost (in Rs.) of 1 bat and 1 ball be x and y respectively.Hence, from the given information the pair of equations will be3x + 6y = 3900; 1x + 2y = 1300which can also be written as:3x + 6y – 3900 = 0; x + 2y – 1300 = 0Note that what we got here is a dependent pair as a1/a2= b1/b2= c1/c2Hence this does not have a unique solution and instead has infinitely many solutions.Let us understand this geometrically. For 3x + 6y – 3900 = 0 x 700 300 Y 300 500 Forx + 2y – 1300 = 0 X 800 500 Y 250 400 The points are plotted and joined to get lines forming the following graph:From the graph it is clear that the lines are coincident and hence each point on them represents a solution of the pair. Hence the pair has infinitely many solutions. |
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