Answer: there is no solution for the system of linear equations.
Explanation:
The given system of linear equation is
4x - y = 8 - - - - - - - - - 1
-8x + 2y = - 5 - - - - - - - -2
The first step is to eliminate y. We would multiply equation 1 by 2 and equation 2 by 1. It becomes
8x - 2y = 16 - - - - - - - - - 3
-8x + 2y = - 5 - - - - - - - -- 4
The next step is to add equation 3 and equation 4. It becomes
O + 0 = 11
It means that there is no solution