Answer:
c=-37/42 b=-71/42 a=9/14
Explanation:
Find what c is equal to using terms of a and b
c=16-4a-3b
Do the same for a using terms of c and b
a=11+3b-2c
Plug in a terms into c equation
c=16-4(11+3b-2c)-3b=-28/3-5b
Plug in c term into a equation
a=11+3b-2(16-4a-3b)=21/9-b
Plug in both a and c equations into 11a-2b+3c=45
11(21/9-b)-2b+3(-28/3-5b)=45
distribute and simplify to get that b=-71/42
plug in b to your c equation
c=-28/3-5x-71/42=-7/42
plug in b to a equation
a=21/9-(-71/42)=9/14