4a+3b+c=16

a-3b+2c=11

11a-2b+3c=45

c=-37/42 b=-71/42 a=9/14

Step-by-step 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