Question
Solve each system, or show that it has no solution, and interpret the result geometrically. (1) x+3y=4; x−2y=−6. (2) −3x+2y=7; 6x−4y=5. (3) x−2y+z=0; 3x−2y+4z=2; 2x−y+2z=3.
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Evidence boundary
The three systems are Nebraska–Lincoln exercises 2–4 under one shared instruction. The calculation and geometry belong to this exact set, not to similarly worded online variants.