If x 2 a y 3 b = e 5 m , x 3 c y 4 d = e 2 n , Δ 1 = 5 m 3 b 2 n 4 d , Δ 2 = 2 a 5 m 3 c 2 n and Δ 3 = 2 a 3 b 3 c 4 d , then the values of x and y are

Question

If x 2 a y 3 b = e 5 m , x 3 c y 4 d = e 2 n , Δ 1 = 5 m 3 b 2 n 4 d , Δ 2 = 2 a 5 m 3 c 2 n and Δ 3 = 2 a 3 b 3 c 4 d , then the values of x and y are, Δ 1 Δ 3 , Δ 2 Δ 3, Δ 2 Δ 1 , Δ 3 Δ 1, l o g Δ 1 Δ 3 , l o g Δ 2 Δ 3, e Δ 1 Δ 3 , e Δ 2 Δ 3

MARKS App · Accepted Answer

Taking log in both the equations, we get, 2 a log ⁡ x + 3 b log ⁡ y = 5 m 3 c log ⁡ x + 4 d log ⁡ y = 2 n By Cramer’s Rule, log ⁡ x = Δ 1 Δ 3 ⇒ x = e Δ 1 Δ 3 log ⁡ y = Δ 2 Δ 3 ⇒ y = e Δ 2 Δ 3

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