Question

Solve the proportion. Show your work by typing in the steps. 9 /P-7 =8/p+10

Answer 1

The proportion results to

`p=-146`

Step-by-step explanation:

Given the proportion:

`(9)/(p-7)=(8)/(p+10)`

To solve for p, we multiply (p - 7)(p + 10)

`(9(p-7)(p+10))/(p-7)=(8(p-7)(p+10))/(p+10)`

This becomes:

`9(p+10)=8(p-7)`

Remove the brackets

`9p+90=8p-56`

Subtract 8p from both sides

`\begin{gathered} 9p+90-8p=8p-56-8p \\ p+90=-56 \end{gathered}`

Subtract 90 from both sides

`\begin{gathered} p+90-90=-56-90 \\ p=-146 \end{gathered}`