Question

1supraX + 1 supraY = 5

3-x supra x + 2-y supra y =12 Rezolvati sistemul....va rog avutati-ma

Answer 1

1/x+1/y=5
(3-x)/x+(2-y)/y=12

1/x+1/y=5
3/x-1+2/y-1=12

1/x+1/y=5
3/x+2/y=14
notam 1/x=a    si 1/y=b

a+b=5
3a+2b=14

b=5-a
3a+2(5-a)=14
3a+10-2a=14
a=4
b=5-4=1

1/x=4      x=1/4
1/y=1      y=1


verificare
1/(1/4)+1=4+1=5
(3-1/4)/(1/4)+(2-1)/1=11/4×4+1 =11+1=12