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If (p(x)=330-18x) and (q(x)=78+3x), what is (x) for (p(x)=q(x))?

Answer and explanation

Correct answer: \(x=12\)

Putting p(x)=q(x) gives 330-18x=78+3x. Subtracting 78 from both sides gives 252-18x=3x, so 252=21x. Hence, x=12. If \(x=14\), the values of the two expressions are not equal. Exam tip: collect the x-terms on one side and constants on the other before solving.

Related tags

Linear EquationsPolynomialsSolving EquationsGrowth And DecayAlgebraLinear Growth And DecayIntroduction To PolynomialsMathematics

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