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In (4x-y=10), if (x=3), what is (y)?

Answer and explanation

Correct answer: \(y=2\)

Given \(4x-y=10\). Substituting \(x=3\) gives \(4(3)-y=10\), or \(12-y=10\). Subtracting 12 from both sides gives \(-y=-2\), hence \(y=2\). If \(y=3\), the left-hand side becomes 9, so it is not correct. Exam tip: when \(-y=-2\), multiply both sides by \(-1\) to change the signs and get \(y=2\).

Related tags

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

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