{"id":12291,"date":"2019-06-17T19:12:51","date_gmt":"2019-06-17T13:42:51","guid":{"rendered":"https:\/\/www.cbselabs.com\/?page_id=12291"},"modified":"2021-09-18T15:33:01","modified_gmt":"2021-09-18T10:03:01","slug":"rd-sharma-class-10-solutions-pair-of-linear-equations-in-two-variables","status":"publish","type":"page","link":"https:\/\/www.cbselabs.com\/rd-sharma-class-10-solutions-pair-of-linear-equations-in-two-variables\/","title":{"rendered":"RD Sharma Class 10 Solutions Pair Of Linear Equations In Two Variables"},"content":{"rendered":"
Question 1.<\/strong><\/span>
\nAkhila went to a fair in her village. 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). The number of times she played Hoopla is half the number of rides she had on the Giant Wheel. Each ride costs Rs. 3, and a game of Hoopla costs Rs. 4. If she spend Rs. 20 in the fair, represent this situation algebraically and graphically.
\nSolution:<\/strong><\/span>
\nLet number of rides on the wheel = x
\nand number of play of Hoopla = y
\nAccording to the given conditions x = 2y \u21d2 x – 2y = 0 ….(i)
\nand cost of ride on wheel at the rate of Rs. 3 = 3x
\nand cost on Hoopla = 4y
\nand total cost = Rs. 20
\n3x + 4y = 20 ….(ii)
\nNow we shall solve these linear equations graphically as under
\nWe take three points of each line and join them to get a line in each case the point of intersection will be the solution
\nFrom equation (i)
\nx = 2y<\/p>\n