A "solution" to this pair of equations is a pair of numbers, for 'a' and 'b', that make the equations true statements.
I can tell you right now that this system of equations has no solution. Here, let me show you why:
4a = 4 - b 4a = 5 - b
Subtract the bottom equation from the top one:
0 = -1
Can you think of any numbers for 'a' and 'b' that could make 0 equal to -1 ?
I can't either.
There are no numbers for 'a' and 'b' that can make both equations true statements. That's just another way to say that the system of equations has no solution.