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The unique point of intersection of two lines is (r, s). If the lines are represented by 4r + s = 29 and r − s = 1, what is the value of r + s?

Answer and explanation

Correct answer: 11

Since (r, s) lies on both lines, its coordinates satisfy both equations. From r − s = 1, s = r − 1. Substituting into 4r + s = 29 gives 4r + (r − 1) = 29, so r = 6 and s = 5. Therefore, r + s = 6 + 5 = 11, so option C is correct.

Related tags

Pair Of Linear EquationsSubstitution MethodIntersection PointAlgebraic 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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