#### Answer

{(2000,1000)}

#### Work Step by Step

x+6y=8000
x+6y-6y=8000-6y
x=8000-6y
Plug this value for x into the other equation.
0.3x-0.6y=0
10(0.3x-0.6y)=10(0)
3x-6y=0
3(8000-6y)-6y=0
24000-18y-6y=0
24000-24y=0
-24y=-24000
y=$\frac{-24000}{-24}$
y=1000
Plug this value for y into the first equation to find x.
x=8000-6(1000)
x=8000-6000
x=2000
Therefore the solution is {(2000,1000)}