Answer:
n=31.5
Step-by-step explanation:
The given question is:
[tex]\frac{14}{n+7}=\frac{10}{n-4}[/tex]
Cross multiply to get:
[tex]14(n-4)=10(n+7)[/tex]
Expand the parenthesis:
[tex]14n-56=10n+70[/tex]
Group similar terms:
[tex]14n-10n=70+56[/tex]
Combine the like terms
[tex]4n=126[/tex]
Divide both sides by 4
[tex]n=\frac{126}{4}[/tex]
n=31.5
