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In (2x+3y=18), if (y=4), what is (x)?

Answer and explanation

Correct answer: \(x=3\)

Given \(2x+3y=18\), substituting \(y=4\) gives \(2x+3(4)=18\), or \(2x+12=18\). Thus, \(2x=6\) and \(x=3\). \(x=6\) would result from forgetting to divide \(2x=6\) by 2. Exam tip: After substitution, simplify multiplication and addition first, then isolate the variable.

Related tags

Linear EquationsSubstitution MethodAlgebraMathematicsClass 10Algebraic Methods: Substitution Method And Elimination Method.Algebraic Methods Substitution Method And Elimination MethodPair Of Linear Equations In Two Variables

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