Math

6a+6c+2v=52 and 6a+3c+v = 41 and 5a+2c+4v = 39 Solve each system of equations

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6a+6c+2v=52

6a-6a+6c+2v=52-6a

6c+2v=52-6a

6c-6c+2v=52-6a-6c

2v=52-6a-6c

2v/2=52-6a-6c/2

v=26-3a-3c

6a+3c+v = 41

6a+3c+26-3a-3c = 41

3a+26 = 41

3a+26-26 = 41-26

3a=15

3a/3=15/3

a=5

5a+2c+4v = 39

5(5)+2c+4(26-3(5)-3c) = 39

25+2c+4(26-15-3c) = 39

25+2c+4(11-3c) = 39

25+2c+4(11) (4)(-3c) = 39

25+2c+44-12c=39

69-10c=39

69-10c-69=39-69

-10c=-33

-10c/-10=-33/-10

c=3.3

v=26-3a-3c

v=26-3(5)-3(3.3)

v=26-15-9.9=1.1