SOLUTION: Find the value of k such that the system of equations is inconsistent. 15x- 3y = 6 -10y+ ky = 9

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Find the value of k such that the system of equations is inconsistent. 15x- 3y = 6 -10y+ ky = 9       Log On


   



Question 357715: Find the value of k such that the system of equations is inconsistent.
15x- 3y = 6
-10y+ ky = 9

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Inconsistent means that the two lines are parallel.
15x-3y=6
-10x%2Bky=9
The ratio of x and y coefficients must be identical,
15%2F%28-3%29=%28-10%29%2Fk
highlight%28k=2%29
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graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C%286-15x%29%2F%28-3%29%2C%289%2B10x%29%2F2%29