Question

1. what allows us to eliminate a variable in the elimination method? subtracting one equation from the other variables with coefficients that are opposites adding the two equations together

Explanation:

The elimination method relies on having variables with coefficients that are additive inverses (opposites). When these are added, they sum to 0, eliminating the variable. Adding/subtracting equations is the action, but the core requirement is the opposite coefficients.

Answer:

Variables with coefficients that are opposites