If (4x + 3y) : (3x + 5y) = 6 : 7, Find X : Y

If (4x + 3y) : (3x + 5y) = 6 : 7, find x : y

Sum

7x (4x + 3y) = 6x (3x + 5y)

28x + 21y = 18x + 30y

28x − 18x = 30y − 21y

10x = 9y

`"x"/"y"=9/10`

∴ x : y = 9 : 10

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