Question

7x+11y = 5

14x+cy = 8
If c is a constant, for what values of c will there be no solution (x,y) to the system of equation
A.5
B.7
C.18
D.22

Answer 1

D: 22

Explanation:

There will be no solution if the two lines are parallel. The given lines

7x+11y = 5

14x+cy = 8

will be parallel if c = 22, because then the 2nd equation is just a constant multiple of the first. Answer D is the correct one.