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If (x=6,\ y=2) satisfies (2x+my=26), what is the value of (m)?

Answer and explanation

Correct answer: \(m=7\)

Substitute \(x=6\) and \(y=2\) into \(2x+my=26\): \(2(6)+m(2)=26\). Thus, \(12+2m=26\), so \(2m=14\) and \(m=7\). If \(m=6\), the left-hand side becomes \(24\), not \(26\). Exam tip: When a value pair is given, substitute each value into its corresponding variable carefully.

Related tags

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

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