4a+3b+c=16 a-3b+2c=11 11a-2b+3c=45

Mathematics

1 answer:

quester [9]3 years ago

7 0

Answer:

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

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