Ans. 2x + 6 = 28
What will be the solution of equation pair V2x - 3y = 0 and V5x + 2y=0 ?
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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
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