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At which point will the lines x + y = 2 and x − y = 2 intersect on the graph?

Answer and explanation

Correct answer: (2, 0)

The point of intersection must satisfy both equations simultaneously. For (2, 0), x + y = 2 + 0 = 2 and x − y = 2 − 0 = 2, so it is the correct point. The point (0, 2) satisfies the first equation but not the second. Exam tip: substitute the coordinates of each option into both equations.

Related tags

Linear EquationsIntersection PointGraphical MethodCoordinate GeometryGraphical Method Of Finding Solutions.Graphical Method Of Finding SolutionsPair Of Linear Equations In Two VariablesMathematics

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