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If (y=56+8x), which value of (x) makes (y) equal to (15x)?

Answer and explanation

Correct answer: \(x=8\)

Given \(y=56+8x\) and the condition \(y=15x\), we equate the two expressions: \(56+8x=15x\). Subtracting \(8x\) from both sides gives \(56=7x\), so \(x=8\). Hence, option C is correct. For instance, if \(x=7\), then \(y=112\) but \(15x=105\), so it does not satisfy the condition. Exam tip: equate the two expressions for the same variable and solve the resulting linear equation.

Related tags

Linear EquationsPolynomialsSolve For XAlgebraic SubstitutionLinear GrowthLinear Growth And DecayIntroduction To PolynomialsMathematics

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