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Find x and y by eliminationmethodX/2-y/9=6,X/7+y/3=5 |
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Answer» Answer: x = 10 x = 10y = 9 Step-by-step explanation: x/2 - y/9 = 6 -------- 1 x/7 + y/3 = 5 ------- 2 By taking LCM, solving 1 st equation 9x - 2y/18 = 6 9x-2y = 108 -------3. By taking LCM, solving 2ND equation 3x + 7Y/21 = 5 3x + 7y = 105 ------- 4 now solve equation. 3 and 4 by elimination method 9x - 2y = 108 (-) (-) (-) 9x + 21y = 315 { 3x +7y = 105 (×3)} ––––––––––– -23y = -207 ––––––––––– y = 9 sub y = 9 in equation 3 9x - 2(9) = 108 9x -18 = 108 9x = 108+18 9x = 126 x = 14 Therefore by solving x = 10, Y = 9 |
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