Question

3x+2y/3x-2y=5/3Find x/y​

Answer 1

Step-by-step explanation:

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Answer 2

Solution

$\tt \to \: \dfrac{3x + 2y}{3x - 2y} = \dfrac{5}{3}$

Using Cross multiplication method

$\tt \to \: 3(3x + 2y) = 5(3x - 2y)$

$\tt \to9x + 6y = 15x - 10y$

$\tt \to \: 9x - 15x = - 10y - 6y$

$\tt \to - 6x = - 16y$

$\to \tt \dfrac{6x }{y} = 16$

$\tt \to \: \dfrac{x}{y} = \dfrac{16}{6} = \dfrac{8}{3}$

Hence

$\tt \to \: \dfrac{x}{y} = \dfrac{8}{3}$