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If (y=255-14x), which value of (x) makes (y) equal to (3x)?

Answer and explanation

Correct answer: \(x=15\)

Given \(y=255-14x\) and the condition \(y=3x\), set the two expressions equal: \(255-14x=3x\). Thus, \(255=17x\), so \(x=15\). For the nearby option \(x=17\), \(y=17\) but \(3x=51\), so it does not satisfy the condition. Exam tip: equate the two expressions and solve the resulting linear equation.

Related tags

Linear EquationsPolynomialsSolve For XSubstitutionAlgebraic ExpressionsLinear Growth And DecayIntroduction To PolynomialsMathematics

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