Question 341713
2X+Y=50 OR Y=50-2X
XY=300
X(50-2X)=300
50X-2X^2=300
2X^2-50X+300=0
2(X^2-25X+150)=0
2(X-15)(X-10)=0
X-15=0 
X=15 Y=50-2*15=50-30=20 ANS.
X-10=0
X=10 Y=50-2*10=50-20=30 ANS.
PROOF:
15*20=300
300=300
10*30=300
300=300