8. Two mark example problems IV

1. Find the value of $k$ for which the system of linear equations $8x + 5y = 9$; $kx + 10y = 15$ has no solution.

 

Answer:

 

$k =$

 

2. Check whether the system of equation $2x - 4y = 7$ and $x - 3y = -2$ is consistent or inconsistent and say how many solutions we can have if it is consistent.

 

Answer:

 

The given equation is inconsistentconsistent and has noinfinitea unique solution(s).