Question

solve for x and y 5/x +6 y =13; 3/x +4y=7​

Answer 1

Answer:

The given equations are: 5/x + 6y = 13 ……..(i) 3/x + 4y = 7 ……..(ii) Putting 1/x = u, we get: 5u + 6y = 13 …….(iii) 3u + 4y = 7 ……(iv) On multiplying (iii) by 4 and (iv) by 6, we get: 20u + 24y = 52 ……..(v) 18u + 24y = 42 ……..(vi) On subtracting (vi) from (v), we get: 2u = 10 ⇒ u = 5 ⇒ 1/x = 5 ⇒ x = 1/5 On substituting x = 1/5 in (i), we get: 5/ 1/3 ⁄ + 6y = 13 25 + 6y = 13 6y = (13 – 25) = -12 y = -2 Hence, the required solution is x = 1/5 and y = -2Read more on Sarthaks.com - https://www.sarthaks.com/130155/solve-for-x-and-y-5-x-6y-13-3-x-4y-7