Question

Rozwiąż podany układ równań metodą podstawiania.

{2(x-1)+ 3(y-2)=5

{3(x+y)-2(x+2)=7

Daję NAJ

Answer 1

2x-2+3y-6=5

3x+3y-2x-4=7

 

2x+3y=13

x+3y=11⇒x=11-3y

 

2(11-3y)+3y=13

x+3y=11

 

22-6y+3y=13

x+3y=11

 

-3y=-9

x+3y=11

 

y=3

x+9=11

 

y=3

x=2

Answer 2

2x-2+3y-6=5

3x+3y-2x-4=7

 

2x+3y-8=5

x+3y-4=7

 

2x+3y=5+8

x+3y=7+4

 

2x+3y=13

x+3y=11 /x(-1)

 

2x+3y=13

-x-3y=-11

------------- dodajemy

x=2

 

x=2

2x+3y=13

 

x=2

4+3y=13

 

x=2

3y=13-4

 

x=2

3y=9 /:3

 

x=2

y=3