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).