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By what number should (5x-2y=1) be multiplied to eliminate (y) with (3x+4y=17)?

Answer and explanation

Correct answer: 2

The coefficient of y in the first equation is 4, while it is -2 in the second equation. Multiplying the second equation by 2 gives 10x-4y=2. On adding it to 3x+4y=17, +4y and -4y cancel. Multiplying by 1 would leave -2y, so y would not be eliminated. Exam tip: In elimination, make the coefficients of one variable equal in magnitude and opposite in sign.

Related tags

Linear EquationsElimination MethodCoefficient MultiplicationAlgebraClass 10Algebraic Methods: Substitution Method And Elimination Method.Algebraic Methods Substitution Method And Elimination MethodPair Of Linear Equations In Two Variables

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