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At which point do the lines \(2x+7y=31\) and \(x-y=1\) meet?

Answer and explanation

Correct answer: Point \(\left(\frac{38}{9},\frac{29}{9}\right)\)

From \(x-y=1\), \(x=y+1\), and substituting in the first equation gives \(9y=29\). Hence \(y=\frac{29}{9}\) and \(x=\frac{38}{9}\).

Related tags

Fraction CoordinatesIntersectionSubstitutionGraphical Method Of Finding Solutions.Graphical Method Of Finding SolutionsPair Of Linear Equations In Two VariablesMathematicsClass 10 Mcq

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