#### Answer

{(200,700)}

#### Work Step by Step

4x-y=100
4x-y+y=100+y
4x=100+y
4x-100=y
y=4x-100
Plug this value for y into the other equation.
0.05x-0.06y=-32
100(0.05x-0.06y)=100(-32)
5x-6y=-3200
5x-6(4x-100)=-3200
5x-24x+600=-3200
-19x+600=-3200
-19x+600-600=-3200-600
-19x=-3800
x=$\frac{-3800}{-19}$
x=200
Plug this value for x into the first equation to find y.
y=4(200)-100
y=800-100
y=700
Therefore the solution is {(200,700)}