Given the equations 4x − 5Y + 2Z = 0 (XYZ ≠ 0), then x: Y: Z is equal to () A. 2:1:3B. 3:2:1C. 1:2:3D. 3:1:2

Given the equations 4x − 5Y + 2Z = 0 (XYZ ≠ 0), then x: Y: Z is equal to () A. 2:1:3B. 3:2:1C. 1:2:3D. 3:1:2

∵ 4x − 5Y + 2Z = 0, ① x + 4Y − 3Z = 0, ②, ∵ ① × 3 + ② × 2, get 2x = y, ① × 4 + ② × 5, get 3x = Z, ∵ X: Y: z = x: 2x: 3x = 1:2:3, so choose C