Question

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

Answer 1

ALL REALS

Explanation:

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Answer 2

The solution set is the set of all real numbers.

Explanation:

Solve:
`18-3n+2=n+20-4n`

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

Combine like terms;

`20-3n=20-3n`

Subtract 20 from both sides we get;

`20-3n-20=20-3n-20`

Simplify:

`-3n=-3n`

Add 3n to both sides we get;

`-3n+3n=-3n+3n`

Simplify:

`0=0` for all n

Thus, the given system is dependent.

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