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If (2x-y=1) and (x=5), what is (y)?

Answer and explanation

Correct answer: \(9\)

Given \(x=5\), substitute it into \(2x-y=1\): \(2(5)-y=1\), so \(10-y=1\). Subtracting 10 from both sides gives \(-y=-9\), hence \(y=9\). If \(y=8\), the left side becomes \(2(5)-8=2\), not 1. Exam tip: when \(-y=-9\), change the signs on both sides to get \(y=9\).

Related tags

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

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