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If (3x+ky=21) and (12x+20y=84) give infinitely many solutions, what is the value of (k)?

Answer and explanation

Correct answer: (5)

The second equation is (4) times the first, so (4k=20) and (k=5). For infinite solutions, the lines must be coincident.

Related tags

Graphical MethodInfinite SolutionsParameterCoincident LinesGraphical Method Of Finding Solutions.Graphical Method Of Finding SolutionsPair Of Linear Equations In Two VariablesMathematics

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