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Subjects
Class 10MathematicsPair of Linear Equations in Two VariablesAlgebraic methods: Substitution method and Elimination method.HardLevel 55

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

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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}).

Tags

linear equationstransformationsubstitutionhardclass 10

Frequently asked questions

What is the correct answer to this question?

(x=\frac{40}{7})

Why is this the correct answer?

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

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Pair of Linear Equations in Two Variables. Topic: Algebraic methods: Substitution method and Elimination method..

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