Answer:
The proportion results to
[tex]p=-146[/tex]Explanation:
Given the proportion:
[tex]\frac{9}{p-7}=\frac{8}{p+10}[/tex]To solve for p, we multiply (p - 7)(p + 10)
[tex]\frac{9(p-7)(p+10)}{p-7}=\frac{8(p-7)(p+10)}{p+10}[/tex]This becomes:
[tex]9(p+10)=8(p-7)[/tex]Remove the brackets
[tex]9p+90=8p-56[/tex]Subtract 8p from both sides
[tex]\begin{gathered} 9p+90-8p=8p-56-8p \\ p+90=-56 \end{gathered}[/tex]Subtract 90 from both sides
[tex]\begin{gathered} p+90-90=-56-90 \\ p=-146 \end{gathered}[/tex]