Question

31. Rezolvaţi sistemele:​

Answer 1

Răspuns:

R:-4/3;-1/3

Explicație pas cu pas:

2/(x+2y)+15/(4x-y)=2

6/(x+2y)+5/(4x-y)=-2

1/(x+2y)=a

1/(4x-y)=b

2a+15b=2

6a+5b=-2/-3

2a+15b=2

-18a-15b=6

-16a=8

a=-1/2

5b=-2-6/2=-2-3=-5

b=-1

1/(x+2y)=-1/2

1/(4x-y)=-1

x+2y=-2

4x-y=-1

x=-2y-2

4(-2y-2)-y=-1

-9y=3

y=-1/3

x=2/3-2=(2-6)/3=-4/3

R:-4/3;-1/3