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Class 10 Mathematics Pair of Linear Equations in Two Variables Algebraic methods: Substitution method and Elimination method.Hard

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If (3(x+y)+2(x-y)=31) and (2(x+y)-(x-y)=13), what is the value of (x)?

Answer and explanation

Correct answer: (x=\frac{40}{7})

Let (x+y=s) and (x-y=d). Solving gives (s=\frac{57}{7}) and (d=\frac{23}{7}), so (x=\frac{40}{7}).

Related tags

Linear Equations Transformation Substitution Hard Class 10 Algebraic Methods: Substitution Method And Elimination Method.Algebraic Methods Substitution Method And Elimination Method Pair Of Linear Equations In Two Variables

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