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Question
If 3x – 2y – 7z = 0 and 2x + 3y – 5z = 0 find x : y : z.
Solution
Here, 3x - 2y - 7z = 0
2x + 3y - 5x = 0
Using method of cross multiplication
∴ `x/((-2) (-5)-3 (-7)) = y/((-7) (2) - (3) (-5)) = z/((3) (3) - (2) (-2)`
⇒ `x/(10 + 21) = y/(-14 + 15) = z/(9 + 4)`
⇒ `x/(31) = y/(1) = z/(13)`
⇒ x : y : z = 31 : 1 : 13.
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