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Which point lies on both lines \(3x-2y=4\) and \(x+4y=22\)?

Answer and explanation

Correct answer: Point \(\left(\frac{15}{4},\frac{73}{16}\right)\)

From \(x+4y=22\), \(x=22-4y\), and substituting in the first equation gives \(y=\frac{73}{16}\). Then \(x=\frac{15}{4}\).

Related tags

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

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