Substitution 4x+6y=32. x=2y+16

4x + 6y = 32

x = 2y + 16

4 (2y + 16) + 6y = 32

8y + 64 + 6y = 32

8y + 6y = 32 - 64

14y = - 32

y = - 32/14 ... reduces to - 16/7

x = 2y + 16

x = 2 (-16/7) + 16

x = - 32/7 + 16

x = - 32/7 + 112/7

x = 80/7

solution is (80/7, - 16/7)

4 (2y+16) + 6y=32

14y+16+=32

y=1.14

x=18.28