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If (y=168-10x), which value of (x) makes (y) equal to (4x)?

Answer and explanation

Correct answer: \(x=12\)

Given \(y=168-10x\) and the condition \(y=4x\), set the two expressions for \(y\) equal: \(168-10x=4x\). Adding \(10x\) to both sides gives \(168=14x\), so \(x=12\). For instance, if \(x=14\), then \(y=28\), whereas \(4x=56\); hence it is not correct. Exam tip: When two expressions represent the same variable, equate them to form a linear equation.

Related tags

Linear EquationsSubstitutionSolve For XAlgebraPolynomialsLinear Growth And DecayIntroduction To PolynomialsMathematics

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