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Which point on the line \(4x+y=17\) is obtained when \(y=1\)?

Answer and explanation

Correct answer: (4, 1)

Substituting \(y=1\) in \(4x+y=17\) gives \(4x+1=17\), so \(4x=16\) and \(x=4\). Hence, the ordered pair is \((4,1)\). Option B reverses the order of the coordinates, while options C and D do not satisfy the equation. Exam tip: verify a point by substituting both coordinates into the original equation.

Related tags

SubstitutionOrdered PairsGraph PlottingGraphical Method Of Finding Solutions.Graphical Method Of Finding SolutionsPair Of Linear Equations In Two VariablesMathematicsClass 10 Mcq

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