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What is the intersection point of the graphs of \\(2x+y=7\\) and \\(x+y=5\\)?

Answer and explanation

Correct answer: \\(2,3\\)

Subtracting the second equation from the first gives \\(x=2\\). Substituting this into \\(x+y=5\\) gives \\(y=3\\). Therefore, the intersection point is \\(2,3\\). For example, option B gives \\(2(3)+2=8\\), so it does not satisfy the first equation. Exam tip: verify a graphical-solution point in both equations.

Related tags

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

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