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At which point do the lines \(x=4\) and \(2x+y=11\) intersect on the graph?

Answer and explanation

Correct answer: (4, 3)

The intersection point must satisfy both equations. From the first equation, \(x=4\). Substituting this into the second equation gives \(2(4)+y=11\), so \(y=3\). Therefore, the intersection point is \((4,3)\). Option B reverses the coordinates and does not satisfy \(x=4\). Exam tip: Always substitute the proposed point into both equations to verify it.

Related tags

Pair Of Linear EquationsGraphical MethodIntersection PointVertical LineCoordinate GeometryGraphical Method Of Finding Solutions.Graphical Method Of Finding SolutionsPair Of Linear Equations In Two Variables

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