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What is the point of intersection of the lines 2x − y = 4 and x + 2y = 7 on a graph?

Answer and explanation

Correct answer: (3, 2)

The intersection point lies on both lines. Substituting (3, 2) gives 2(3) − 2 = 4 and 3 + 2(2) = 7, so it satisfies both equations. The other options do not satisfy both equations simultaneously. Exam tip: verify a graphical intersection point by substituting its coordinates into both equations.

Related tags

Pair Of Linear EquationsGraphical MethodPoint Of IntersectionCoordinate GeometryGraphical Method Of Finding Solutions.Graphical Method Of Finding SolutionsPair Of Linear Equations In Two VariablesMathematics

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