What terms can eliminate themselves?

Question

For example:
3x + _____ would eliminate to 0.

Answer 1

To eliminate a term in an equation, you can use its additive inverse. In the example you provided, for the term \(3x\) to eliminate itself to 0, you would need to add \(-3x\).

In general, for any term \(ax\) (where \(a\) is a coefficient), you can eliminate it by adding \(-ax\).

So, the term that would eliminate \(3x\) is:

\[ -3x \]

Thus, the complete expression would be:

\[ 3x + (-3x) = 0. \]