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If (x+y=9) and (y=4), what is the value of (x)?

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Answer and explanation

Correct answer: \(x=5\)

Given \(x+y=9\) and \(y=4\), substitute 4 for \(y\) to get \(x+4=9\). Subtracting 4 from both sides gives \(x=5\). Therefore, option C is correct. If \(x=4\), the sum would be 8, not 9. Exam tip: after substitution, perform the same operation on both sides to isolate the unknown.

Tags

pair of linear equationssubstitution methodlinear equationsclass 10algebra

Frequently asked questions

What is the correct answer to this question?

\(x=5\)

Why is this the correct answer?

Given \(x+y=9\) and \(y=4\), substitute 4 for \(y\) to get \(x+4=9\). Subtracting 4 from both sides gives \(x=5\). Therefore, option C is correct. If \(x=4\), the sum would be 8, not 9. Exam tip: after substitution, perform the same operation on both sides to isolate the unknown.

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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