Question

Solve for k

10/3 = k/9

K =

Answer 1

10/3=k/9
(10/3)9=k
30=k

Answer 2

`K=30`

Explanation:

`rewrite \: the \: equation \: as \: (k)/(9) = (10)/(3)`

`(k)/(9) = (10)/(3)`

`multiply \: both \: sides \: of \: the \: equation \: \\ by \: 9.`

`9. (k)/(9) = 9. (10)/(3)`

`simplify \: both \: sides \: of \: the \: equation.`

`cancel \: the \: common \: factor \: of \: 9.`

`cancel \: the \: common \: factor.`

`9. (k)/(9) = 9. (10)/(3)`

`rewrite \: the \: expression.`

`k = 9. (10)/(3)`

`cancel \: the \: common \: factor \: of \: 3.`

`factor \: 3 \: out \: of \: 9.`

`k=3(3)⋅ (10)/(3)`

`cancel \: the \: common \: factor.`

`k=3⋅3⋅ (10)/(3)`

`rewrite \: the \: expression.`

`k=3⋅10`

`multiply \: 3 \: by \: 10.`

`k = 30`