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In the equations (3x+2y=22) and (x=4), what is the value of (y)?

Answer and explanation

Correct answer: \(y=5\)

Substitute \(x=4\) into \(3x+2y=22\): \(3(4)+2y=22\). Thus, \(12+2y=22\), so \(2y=10\) and \(y=5\). If \(y=4\), the left-hand side becomes \(20\), not \(22\). Exam tip: always verify the obtained value in the original equation.

Related tags

Pair Of Linear EquationsSubstitution MethodLinear AlgebraValue Of YClass 10 MathematicsAlgebraic Methods: Substitution Method And Elimination Method.Algebraic Methods Substitution Method And Elimination MethodPair Of Linear Equations In Two Variabl

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