On comparing the ratios, and without drawing them, find out whether the lines representing following pairs of linear equations intersect at a point, are parallel or coincide : We see that these two lines are parallel to each other Plot the points (-2, 3) and (2, -2) and join them to get a lineĪnd also plot the points (0, 5), (4, 0) and joint them to get another line as shown on the graph Gloria is walking along the path joining (-2, 3) and (2, -2), while Suresh is walking along the path joining (0, 5) and (4, 0). Graphically, we shall represent these on the graph as given under 3x + 4y- 12 = 0 The path of a train A is given by the equation 3x + 4y – 12 = 0 and the path of another train B is given by the equation 6x + 8y – 48 = 0. Now plot the points on the graph and join them we see that lines well meet at a point on producing at (5, 35). Now plot these points on the graph and join Also, three years from now, I shall be three times as old as you will be.” Is not this interesting ? Represent this situation algebraically and graphically. These two lines intersect eachother at the point (4, 2)Īftab tells his daughter, “Seven years ago, I w as seven times as old as you were then. Now we plot these points and get another line by joining them Now, we plot these points on the graphs and join them to get a line We take three points of each line and join them to get a line in each case the point of intersection will be the solution Now we shall solve these linear equations graphically as under 20 in the fair, represent this situation algebraically and graphically.Īccording to the given conditions x = 2y ⇒ x – 2y = 0 ….(i)Īnd cost of ride on wheel at the rate of Rs. The number of times she played Hoopla is half the number of rides she had on the Giant Wheel. She wanted to enjoy rides on the Giant Wheel and play Hoopla (a game in which you throw a rig on the items kept in the stall, and if the ring covers any object completely you get it). RD Sharma Class 10 Solutions Pair Of Linear Equations In Two Variables RD Sharma Class 10 Solutions Pair Of Linear Equations In Two Variables Exercise 3.1Īkhila went to a fair in her village.
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