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If 4x − y = 11 and 2x + 3y = 23, what is the value of y using substitution?

Answer and explanation

Correct answer: 5

From 4x − y = 11, we get y = 4x − 11. Substituting this into the second equation gives 2x + 3(4x − 11) = 23, so 14x = 56 and x = 4. Therefore, y = 4(4) − 11 = 5.

Related tags

Pair Of Linear EquationsSubstitution MethodAlgebraic Methods: Substitution Method And Elimination Method.Algebraic Methods Substitution Method And Elimination MethodPair Of Linear Equations In Two VariablesMathematicsClass 10 Mcq

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