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Given that 8x+9y=12y-3x find the numerical ratio of x:y

1 Answer

1 vote

Answer:

x : y = 3 : 11

Explanation:

given

8x + 9y = 12y - 3x

collect x- terms on the left and y - terms on the right

add 3x to both sides

8x + 3x + 9y = 12y - 3x + 3x ( simplify both sides )

11x + 9y = 12y ( subtract 9y from both sides )

11x + 9y - 9y = 12y - 9y ( simplify both sides )

11x = 3y ( divide both sides by y )

11
(x)/(y) = 3
(y)/(y) , that is

11
(x)/(y) = 3 ( divide both sides by 11 )


(x)/(y) =
(3)/(11)

in ratio form x : y = 3 : 11

User Jerel
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