Solve for both systems 3z+10y=0 and 6z + 4y = 0

3z+10y=0

3z+10y-10y=0-10y

3z=-10y

3z/3=-10y/3

z=-3.33y

6z + 4y = 0

6(-3.33y) + 4y = 0

-20y + 4y = 0

-16y = 0

-16y/-16 = 0/-16

y=0

z=-3.33y

z=-3.33(0)=0