25x 10y 20 5x cy 15 In the system of equations above c i
25x - 10y = 20 5x + cy = 15 In the system of equations above, c is a constant. If the system has no solution, what is the value of c? -12 -2 5 25
Solution
25x - 10y = 20
5x + cy = 15
if the system has no solutions this means both lines are parallel and their slopes are same
slope of 1st line is
y = 25x / 10 - 20/10
slope = 5/2
slope od 2nd line is -5/c
hence
5/2 = -5/c
c = -2
option b is correct
