Question

If (3x + 5y):(3x-5y) =7:3 . Find x:y

Answer 1

please refer the image given below

Answer 2

$Given \: (3x+5y): (3x-5y) = 7 : 3$

$We \:know \: that ,$

$\boxed {\pink { If \: a:b = c:d \implies ad=bc }}$

$\implies (3x+5y) \times 3 = (3x-5y) \times 7$

$\implies 9x + 15y = 21x - 35y$

$\implies 9x - 21x = -35y - 15y$

$\implies - 12x = - 50y$

$\implies \frac{x}{y} = \frac{-50}{-12}$

$\implies \frac{x}{y} = \frac{25}{6}$

$\implies x : y = 25 : 6$

Therefore.,

$\red { x : y } \green { = 25 : 6 }$

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