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Which point lies on both lines \(x-2y=-5\) and \(2x+y=13\)?

Answer and explanation

Correct answer: Point \(\left(\frac{21}{5},\frac{23}{5}\right)\)

Solving both equations gives \(x=\frac{21}{5}\) and \(y=\frac{23}{5}\). This point lies on both lines.

Related tags

Common PointFraction SolutionGraphGraphical Method Of Finding Solutions.Graphical Method Of Finding SolutionsPair Of Linear Equations In Two VariablesMathematicsClass 10 Mcq

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