Question 213466
2x+2y=300 or 2x=300-2y or x=150-y
xy=5,000
(150-y)y=5,000
150y-y^2=5,000
y^2-150y+5,000=0
(y-100)(y-50)=0
y-100=0 
y=100 & x=50 ans.
y-50=0
y=50 & x=100 ans.
Proofs:
2*50+2*100=300
100+200=300
50*100=5,000
5,000=5,000