Each equation represents a straight line. Two lines can (i) intersect at one point — unique solution (consistent, independent), (ii) be coincident — infinitely many solutions (consistent, dependent), (iii) be parallel — no solution (inconsistent). The relation between coefficients tells you which case.
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Class 10 · Mathematics (Standard) · Unit 3: Pair of Linear Equations in Two Variables
Graphical Interpretation
Lesson 1 of 5