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At which point do the lines \(x=6\) and \(x+y=10\) intersect?

Answer and explanation

Correct answer: (6, 4)

Since the first line is \(x=6\), the x-coordinate of the intersection must be 6. Substituting this in the second equation gives \(6+y=10\), so \(y=4\). Therefore, the intersection point is \((6,4)\). In \((6,10)\), the value of y has been incorrectly taken as 10. Exam tip: Always substitute the proposed point into both equations to verify it.

Related tags

Vertical LineIntersectionGraphical MethodLinear EquationsGraphical Method Of Finding Solutions.Graphical Method Of Finding SolutionsPair Of Linear Equations In Two VariablesMathematics

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