a = -2b/5
Solving the equations we have
1. a + 2b = 5
Solving for a we get
a = 5 - 2b
2. 5a = 2b
Solving for a we get
a = 2b/5
3. a + 5 = 2b
Solving for a we get
a = 2b - 5
4. 5(a + 2b) = 0
Solving for a we get
a+2b = 0
a = -2b
5. 5a + 2b = 0
Solving for a we get
5a = -2b
a = -2b/5