x + 2y – 3z = 0 and 2x – 3y – 5z = 0. Find x : y : z.
Explanation:
x + 2y – 3z = 0 …(1)
2x – 3y – 5z = 0 …(2)
(1) × 2 – (2)
7y = z
Substituting z = 7y in equation (1).
x + 2y – 21y = 0
⇒ x = 19y
∴ x : y : z = 19y : y : 7 = 19 : 1 : 7
Hence, option (d).
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