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If (A(x)=18+5x) and (B(x)=30+3x), when will both be equal?

Answer and explanation

Correct answer: \(x=6\)

For the two expressions to be equal, set \(18+5x=30+3x\). Subtracting \(3x\) and 18 from both sides gives \(2x=12\), so \(x=6\). Checking: \(A(6)=48\) and \(B(6)=48\). The nearby option \(x=5\) does not make the two values equal. Exam tip: To find when two linear expressions are equal, equate them first and solve for \(x\).

Related tags

Linear EquationsPolynomialsLinear ExpressionsEqualityAlgebraClass 9Linear Growth And DecayIntroduction To Polynomials

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