Question

√3x - √2y = 0 and √2x + √6y = 0 is ?

Answer 1

Answer:

Given pair of linear equations is √2 x – √3 y = 0 …(i) And √5 x + √2 y = 0 …(ii) On multiplying Eq. (i) by √2 and Eq. (ii) by √3 to make the coefficients of y equal, we get the equation as 2x – √6 y = 0 …(iii) √15 x + √6 y = 0 …(iv) On adding Eq. (iii) and (iv), we get 2x – √6 y + √15 x + √6 y = 0 ⇒ 2x + √15 x = 0 ⇒ x(2 + √15) = 0 ⇒ x = 0 On putting x = 0 in Eq. (i), we get √2 x – √3 y = 0 ⇒ √2(0) – √3 y = 0 ⇒ – √3 y = 0 ⇒ y = 0 Hence, x = 0 and y = 0 , which is the required solution.Read more on Sarthaks.com - https://www.sarthaks.com/923856/solve-the-following-system-of-equations-by-elimination-method-2x-3y-0-5x-2y-0

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