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If (x-y=5) and (y=2), what will be the value of (x)?

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Answer and explanation

Correct answer: \(x=7\)

Given \(y=2\), substitute it in \(x-y=5\): \(x-2=5\). Adding 2 to both sides gives \(x=7\), so option C is correct. For example, if \(x=6\), then \(6-2=4\), not 5. Exam tip: verify the obtained value by substituting it back into the original equation.

Related tags

Linear EquationsSubstitution MethodValue Of XAlgebraClass 10

Frequently asked questions

What is the correct answer to this question?

\(x=7\)

Why is this the correct answer?

Given \(y=2\), substitute it in \(x-y=5\): \(x-2=5\). Adding 2 to both sides gives \(x=7\), so option C is correct. For example, if \(x=6\), then \(6-2=4\), not 5. Exam tip: verify the obtained value by substituting it back into the original equation.

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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