I.8(x+3) + 8(-x) =72
II. 5(y + 5) + 5(-y) = 150
I. 8(x+3) + 8(-x) =72 8x × 83 + (1/8)x - 72 = 0 Let 8x = a 512a + 1/a - 72 = 0 512a² + a - 72a = 0 512a² - 72a + 1 = 0 512a² - 64a - 8a + 1 = 0 64a (8a-1) -1(8a-1) = 0 (64a-1) (8a-1) = 0 a = 1/8, 1/64 8x = 1/8 x = -1 8x = 1/64 x = -2 II. 5(y + 5) + 5(-y) = 150 55 × 5y + (1/5)y - 150 = 0 Let 5y = b 3125b + 1/b - 150 = 0 3125b² - 150b + 1 = 0 3125b² - 125b - 25b + 1 = 0 125b(25b-1) -1(25b-1) = 0 b = 25, 125 5y = 1/25 y = -2 5y = 1/125 y = -3 Hence, x ≥ y
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