SkillzDaKIng SkillzDaKIng
  • 24-08-2016
  • Mathematics
contestada

Which of the following is the solution set of 18 - 3n + 2 = n + 20 - 4n?

Respuesta :

OrethaWilkison OrethaWilkison
  • 11-02-2019

Answer:

The solution set is the set of all real numbers.

Step-by-step explanation:

Solve: [tex]18-3n+2=n+20-4n[/tex]

Like terms are those terms which have same variable to the same power:

Combine like terms;

[tex]20-3n=20-3n[/tex]

Subtract 20 from both sides we get;

[tex]20-3n-20=20-3n-20[/tex]

Simplify:

[tex]-3n=-3n[/tex]

Add 3n to both sides we get;

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

Simplify:

[tex]0=0[/tex] for all n

Thus, the given system is dependent.

Therefore, the solution set is set of all real numbers.

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