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If (x=3,\ y=2) satisfies (2x+ky=16), what is the value of (k)?

Answer and explanation

Correct answer: \(k=5\)

Substitute \(x=3\) and \(y=2\) into \(2x+ky=16\): \(2(3)+k(2)=16\). Thus, \(6+2k=16\), so \(2k=10\) and \(k=5\). For example, \(k=4\) gives a left-hand side of \(14\), not \(16\). Exam tip: while substituting an ordered pair, place the values of \(x\) and \(y\) in their correct terms.

Related tags

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

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