5a+2v=32 and 6a+6v = 42 Solve for each system

6a+6v = 42

6a-6a+6v = 42-6a

6v = 42-6a

6v/6 = 42-6a/6

v=7-a

5a+2v=32

5a+2(7-a)=32

5a+2(7) (2)(-a)=32

5a+14-2a=32

3a+14=32

3a+14-14=32-14

3a=18

3a/3=18/3

a=6

v=7-a

v=7-6=1