Question

Consider the following linear system.

Answer 1

D

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!

Answer 2

k= 10

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