solve x and y √2x - √3 = 0 and √5 + √2 = 0 by substitution or elimination method
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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 solution.]
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