Solve the system of equations
10b+5v+5z=55
3b+5v+5z=34
5b+6v+3z=42
10b+5v+5z=55 5z=55-10b-5v
3b+5v+5z=34 5z=34-3b-5v
55-10b-5v=34-3b-5v | + 5v system of equations
55-10b=34-3b | -34+10b
21=7b | /7
b=3
3b+5v+5z=34 |deploy b=3 system of deploy
5b+6v+3z=42 |deploy b=3
9+5v+5z=34 | * 3
15+6v+3z=42 | * 5
27+15v+15z=170 | subtr. system of addition
75+30v+15z=210
48+15v=40 | -48
15v=-8 | /15
v=\(-\frac{8}{15}\)
27+15v+15z=170 | deploy \(v=-\frac{8}{15}\)
27-8+15z=170 | - 19
15z=151
\(z=10\frac{1}{15}\)
!