Three-variable systems and solution types

Build confidence with three-variable linear systems through elimination, substitution, solution checking and interpretation. This precalculus practice set progresses from testing ordered triples to unique solutions, inconsistent equations, dependent systems and parameter cases. Mixed single-select and multiselect questions connect symbolic calculations with a practical ticket model and challenge common claims about zero equations. Worked explanations show how each conclusion follows and why plausible alternatives fail. No matrix algorithms or spatial plane geometry are required; every question stands alone even when practice order is shuffled.