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If (p(x)=120-7x) and (q(x)=60+5x), what is (x) for (p(x)=q(x))?

Answer and explanation

Correct answer: \(x=5\)

Since \(p(x)=q(x)\), set \(120-7x=60+5x\). Subtracting 60 from both sides gives \(60-7x=5x\), so \(60=12x\). Hence, \(x=5\). If \(x=6\) is substituted, the two expressions do not have equal values. Exam tip: equate the two linear expressions and collect all \(x\)-terms on one side.

Related tags

Linear EquationsPolynomialsSolve For XLinear Growth And DecayAlgebraic ExpressionsIntroduction To PolynomialsMathematicsClass 9 Mcq

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