Ashifur September 9, 2023 - 19:40
Problem: Solve: $\frac{x}{2}+\frac{6}{y}=9,\frac{x}{3}+\frac{2}{y}$ = 4

View all: BANGLADESH DEVELOPMENT BANK LTD (SO) WRITTEN QUESTION (MATH) SOLVE | 2018

Correct Answer: (X. y) = (6, 1) 

Explanation:

$\frac{x}{2}+\frac{6}{y}$=9

=> $\frac{xy+12}{2y}$=9

so, xy +12 = 18y…………….(i)

$\frac{x}{3}+\frac{2}{y}=4$

=> $\frac{xy+6}{3y}$ =4

so, xy + 6 = 12y (ii)Now, [(i)- (ii)] we have

xy + 12 =18y

xy + 6 = 12y [বিয়গ করা হল]

6 = 6y

putting the value of yin (ii) we have

=> x= 12-6

SO, x=6

(x,y) = (6,1)

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