Consider the following linear system.

Answer:
k= 10
Step-by-step explanation:
2x - 5y = 15
ky = 20 +4x
Solve the first equation for y
-5y = -2x +15
Multiply by -2
10y = 4x - 30
If k = 10 then the slopes are the same, but the y intercepts are different.
The lines are parallel. They will never intersect, and they have no solution
Answer:
D
Step-by-step explanation:
- 5y = - 2x +15
10y = 4x - 30
if k = 10, then the y intercepts are different, and the lines--being parallel--don't ever meet, so k = 10 would result in 0 solutions.
Hope this helps!