SOLUTION: Determine the value of k for which the system of linear equations 2x + 5y = 10 x + ky = 5 has infinitely many solutions. k = Find all solutions corresponding t

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Question 954487: Determine the value of k for which the system of linear equations
2x + 5y = 10
x + ky = 5
has infinitely many solutions.
k =

Find all solutions corresponding to this value of k. (Express x and y in terms of the parameter
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
You want k so that the two linear equations are equivalent.

system%282x%2B5y=10%2C2%28x%2Bky%29=2%2A5%29

system%282x%2B5y=10%2C2x%2B2ky=10%29

Corresponding terms must be equal.
5=2k
highlight%28k=5%2F2%29