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What is the point of intersection of the lines \(x+y=16\) and \(x-y=6\)?

Answer and explanation

Correct answer: (11, 5)

Adding the two equations gives \(2x=22\), so \(x=11\). Substituting this into \(x+y=16\) gives \(y=5\). Therefore, the intersection point is \((11,5)\). Option B has the coordinates reversed; although \(5+11=16\), \(5-11\neq6\). Exam tip: Always substitute a proposed point into both equations.

Related tags

Graphical SolutionIntersection PointLinear EquationsTwo VariablesGraphical Method Of Finding Solutions.Graphical Method Of Finding SolutionsPair Of Linear Equations In Two VariablesMathematics

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