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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 (2(x+y)+3(x-y)=41) and (3(x+y)-2(x-y)=34), what is the value of (y)?

Answer and explanation

Correct answer: (y=\frac{25}{13})

Let (x+y=s) and (x-y=d). Solving gives (s=\frac{184}{13}) and (d=\frac{134}{13}), so (y=\frac{25}{13}).

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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