標題:

解二元一次方程

發問:

53/x + 28/y = 1 ----(1) 48/x + 48/y = 1 ----(2) 要有詳細步驟

最佳解答:

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53/x + 28/y = 1 ----(1) 48/x + 48/y = 1 ----(2) from (2), (48x + 48y)/xy = 1 48x + 48y = xy ----(3) from (1), (53y + 28x)/xy = 1 53y + 28x = xy ----(4) (3) - (4), -5y + 20x = 0 20x = 5y 4x = y ----(5) sub. (5) into (2), 48/x + 48/4x = 1 48/x + 12/x = 1 60/x = 1 x = 60 sub. x=60 into (5), y = 4(60) y = 240 therefore, x = 60, y = 240

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