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When does a pair of linear equations have no solution by the graphical method?

Answer and explanation

Correct answer: When the two lines are distinct and parallel

Distinct parallel lines never meet, so there is no common point and hence no solution. Check \(a_1/a_2=b_1/b_2\ne c_1/c_2\). Exam tip: equal slopes with different intercepts indicate parallel lines.

Related tags

Linear EquationsGraphical MethodNo SolutionParallel LinesClass 10 MathematicsGraphical Method Of Finding Solutions.Graphical Method Of Finding SolutionsPair Of Linear Equations In Two Variables

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