x²•y=50 (1)
x•y²=20 (2)
x,y > 0
(1)*(2)
x²y*xy² = 20*50
x³*y³ = 1000
(xy)³ = 10³
xy = 10
(1)/(2)
x²y / xy² = 50/20
x/y = 5/2
x = 5/2y
xy = 5/2y*y = 10
5/2y² = 10
y² = 4
y1 = - 2 no y > 0
y2 = 2
x = 5
answer (5,2)
x²•y=50 (1)
x•y²=20 (2)
x,y > 0
(1)*(2)
x²y*xy² = 20*50
x³*y³ = 1000
(xy)³ = 10³
xy = 10
(1)/(2)
x²y / xy² = 50/20
x/y = 5/2
x = 5/2y
xy = 5/2y*y = 10
5/2y² = 10
y² = 4
y1 = - 2 no y > 0
y2 = 2
xy = 10
x = 5
answer (5,2)