Question

Solve for p (1/3)(p+9)=3+2(p-6)

Answer 1

36/5 or 7 1/5

Explanation:

(1/3)(p+9)=3+2(p-6)

p/3 + 9/3 = 3 + 2p - 12

p/3 + 3 = -9 + 2p

Putting the like terms together

2p - p/3 = 3 + 9

(1 2/3)p = 12

(5/3)p = 12

p = 12×3/5

= 36/5

= 7 1/5

Answer 2

`p=(36)/(5)`

Explanation:

we are given

`(1)/(3) (p+9)=3+2(p-6)`

Since, we have to solve for p

so, we will multiply both sides by 3

`3* (1)/(3) (p+9)=3* (3+2(p-6))`

we can simplify it

`p+9=3* 3+3* 2(p-6))`

`p+9=9+6(p-6))`

`p+9=9+6p-36`

`p+9-9=9+6p-36-9`

`p=6p-36`

Subtract both sides by 6p

`p-6p=6p-36-6p`

`-5p=-36`

Divide both sides by -5

and we get

`p=(36)/(5)`