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If 10y-6=3k(5y-3) for all y, then k=...

If `10y-6=3k(5y-3)` for all y, then k=

A

`1/2`

B

`2/3`

C

`3/2`

D

`5/3`

Text Solution

Verified by Experts

The correct Answer is:
B
Divide both sides by 5y-3 to have the k-term on its own , `(10y-6)/(5y-3)` = 3K. Factor out 2 from the numerator and then divide common terms , `(2(5y-3))/(5y-3)`=2=3K. Divide both sides by 3 to get K=`2/3`.
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Knowledge Check

  • If y=k^(-(2)/(3)) , where k gt y gt0, which of the following equations gives k in terms of y?

    A
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    A
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    B
    `(-10)/(7)`
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