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math

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I need help solve the equation by fractions

8/(21-y) = 12/(y+19)

I think the answer is y = 5, i just need to know how to do work out. i done some solution like this

first multiply by(21-y)(y+19)(assuming that y = 21 and y = 19:

(21-y)(y+19)8/(21-y) = (21-y)(y+19)12/(y+19)

then cancel and multiply out the brackets:

8(y+19) = 12(21-y)

that is

8x+152 = 12x-96

finally,rearrange the equation as

160x = 104

  • math - ,

    y=5 is correct.
    To multiply by (21-y)(y+19), y must not equal 21 nor -19.

    Correct until
    8(y+19) = 12(21-y)
    Expand:
    8y+152=-12y+252
    20y=100
    y=5

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