Solve a1x + b1y = c1 and a2x + b2y = c2 for x and y.
This solves any 2x2 linear system using Cramer's Rule. If the two lines are parallel (determinant = 0), there is no single unique solution.
It solves a system of two or more linear equations simultaneously for the unknown variables.
Substitution, elimination, and matrix-based methods like Cramer's rule or Gaussian elimination.
The equations represent parallel lines that never intersect, so no values satisfy both.