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UniversityMathsLinear algebra10–15 min

Crossing Point

Each equation is a line. Find where they cross, and spot when a system has no single solution.

FIT / PLAYTry. Solve. Level up.
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Theory and model assumptions

a₁x + b₁y = c₁, a₂x + b₂y = c₂. det = a₁b₂ − a₂b₁. det ≠ 0 gives one solution (Cramer’s rule); det = 0 means parallel or identical lines.

Teacher guidance

Expected time: 10–15 minutes.

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