Question

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

Ø
{0}
all reals

Answer 1

18-3n+2=n+20-4n combine like terms on each side

20-3n=20-3n

So the above is true for all real values of n. n=(-oo, +oo) (all real values)

Answer 2

solution is all real values of n

Explanation:

Given

18 - 3n + 2 = n + 20 - 4n ← simplify both sides

20 - 3n = 20 - 3n

Since the equations on both sides are equal, then

There are an infinite number of solutions, that is all reals