Question

Rozwiąż układy równań: {2x+y=2 {3x-2y=3 _____________________________________ {x+3y=3 {-2+x+5y=5 _______________________________________ {5x+3y=2 {5-y=2 _____________________

Answer 1

{2x+y = 2

{3x-2y+3

 

{y = 2-2x

{3x-2(2-2x)=3

 

{y=2-2x

{3x-4+4x=3

 

{y=2-2x

{7x=3+4

 

{y=2-2x
{7x=7/:7

 

{y=2-2x

{x=1 

 

{y=2-2*1

{x=1

 

{y=0

{x=1

----------------------------

{x+3y=3

{-2+x+5y=5

 

{x=3-3y

{3-3y+5y=5+2

 

{x=3-3y

{2y=7-3

 

{x=3-3y

{2y=4/:2

 

{x=3-3y

{y=2

 

{x=3-3*2

{y=2

 

{x=-3

{y=2

---------------------------

{5x+3y=2

{5-y=2

 

{5x+3y=2

{y=5-2

 

{5x+3y=2

{y=3

 

{5x+3*3=2

{y=3

 

{5x=2-9

{y=3

 

{5x=-7/:5

{y=3

 

{x=-7/5

{y=3