SOLUTION: Find the value of k for which the system of equation 3x + y = 1 and kx + 2y = 5 has no solution

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Question 763324: Find the value of k for which the system of equation 3x + y = 1 and kx + 2y = 5 has no solution
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
The slopes of these lines would be equal.

y=-3x%2B1 and y=-%28k%2F2%29x%2B5 are the equivalent lines in slope intercept form. Their slopes would be equal if these lines were parallel and they would have no common point, therefore no solution for the system of equations.

-3=-%28k%2F2%29
3=k%2F2
highlight%28k=3%2F2%29