baytreat066
baytreat066 baytreat066
  • 16-05-2018
  • Mathematics
contestada

Solve. 14/n+7=10/n-4

N=5.25
N=3.5
N=31.5
N=30

Respuesta :

kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 26-05-2019

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

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