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If (y=126-7x), which value of (x) makes (y) equal to (2x)?

Answer and explanation

Correct answer: \(x=14\)

Given \(y=126-7x\), the required condition is \(y=2x\). Therefore, \(126-7x=2x\), so \(126=9x\) and \(x=14\). If \(x=12\), then \(y=42\), whereas \(2x=24\), so it does not satisfy the condition. Exam tip: In such questions, equate the given expression for \(y\) to the required condition and then solve for \(x\).

Related tags

Linear EquationsPolynomialsAlgebraic ExpressionsSolve For XSubstitutionLinear Growth And DecayIntroduction To PolynomialsMathematics

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