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If (y=165-12x), which value of (x) gives (y=45)?

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Answer and explanation

Correct answer: 10

Given \(y=165-12x\) and \(y=45\), we get \(165-12x=45\). Subtracting 165 from both sides gives \(-12x=-120\), so \(x=10\). If \(x=9\), then \(y=57\), not 45. Exam tip: Track signs carefully when transposing or simplifying negative terms.

Related tags

Linear EquationPolynomialsSubstitutionSolve For XLinear Decay

Frequently asked questions

What is the correct answer to this question?

10

Why is this the correct answer?

Given \(y=165-12x\) and \(y=45\), we get \(165-12x=45\). Subtracting 165 from both sides gives \(-12x=-120\), so \(x=10\). If \(x=9\), then \(y=57\), not 45. Exam tip: Track signs carefully when transposing or simplifying negative terms.

Which subject and chapter does this question cover?

This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Linear growth and decay.

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