woody31781
woody31781 woody31781
  • 22-01-2020
  • Mathematics
contestada

which of the following are solutions to this equation 3n+4=24-n a) n=1 b) n=3 c) n=5 d) n=7​

Respuesta :

inchu420 inchu420
  • 29-01-2020

Answer:

The correct option is c) n=5.

Therefore the solution to

[tex]3n+4=24-n[/tex]

is

[tex]n=5[/tex]

Step-by-step explanation:

Given:

[tex]3n+4=24-n[/tex]

To Find;

n = ?

Solution:

[tex]3n+4=24-n[/tex]      ........Given

Add + n to both the side

[tex]3n+4+ n=24-n+n\\4n+4=24[/tex]

Now Subtract 4 on both the side

[tex]4n+4-4=24-4\\4n=20[/tex]

Dividing by 4 on both side

[tex]\dfrac{4n}{4}=\dfrac{20}{4}\\\\n=5[/tex]

Therefore the solution to

[tex]3n+4=24-n[/tex]

is

[tex]n=5[/tex]

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