Question

Rozwiąż podane uklady równań dowolną metodą .

a ) {y+2-(3-x)=0

{x-2=5-(2-y)

b ) {3(x-y)+4x=8

{3(x-5y)=5-9y

c) {3(2x-1)+4(y-2)=9
{2(5x-1)+3y=5(3x+y)=2

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

{5(x+1)-2(3-y)= -4(x+y)

e) {4(x+2)-3(y-1)=x+y-3
{3(x-4)-2(y-2)=4(x-y)+4

Wszyskim daje naj . ; )

Answer 1

a) {y+2-(3-x)=0

    {x-2=5-(2-y)

 

{y+2-3+x=0

{x-2=5-2+y

 

 {x+y=1

-{x-y=5

2y=-4 |/2

 

y=-2

 

x-y=5

x=5+y

x=5+(-2)

x=3

 

{x=3

{y=-2

 

 

b)

{3(x-y)+4x=8

{3(x-5y)=5-9y

 

{3x-3y+4x=8

{3x-15y=5-9y

 

{7x-3y=8 |*(-2)

{3x-6y=5

 

  {-14x+6y=-16

+{3x-6y=5

-11x=-11 |/(-11)

 

x=1

 

3x-6y=5

6y=3x-5

6y=3-5

6y=2 |/6

y=1/3

 

{x=1

{y=1/3

x-y/3-1/2=x-y/4                  /*12

x+y/2=4,5+y-1/3                     /*6

 

4x-4y-6=3x-3y

3x+3y=27+2y-2

 

4x-4y-3x+3y=6

3x+3y-2y=25

 

x-y=6

3x+y=25

 

 x=6+y

3x+y=25

 

3(6+y)+y=25

18+3y+y=25

4y=7

y=7/4

 

x=6+y

y=7/4

 

y=7/4

x=6+7/4

 

y=1i3/4

x=7i3/4 

2(x+y)– 3(x– 2y)= – 7x– 2
5(x+1)–2(3–y)= – 4(x+y)

2x + 2y - 3x + 6y = -7x - 2
5x + 5 - 6 + 2y = -4x - 4y

6x + 8y = -2 /*3
9x + 6y = 1/*(-4)

18x + 24y = -6
+ -36x - 24y = -4
--------------------------
-18x = -10 /:(-18)
x = 5/9

6x + 8y = -2
10/3 + 8y = -2
8y = -5 1/3 /:8
y = -2/3

x = 5/9, y = -2/3 4(x+2)– 3(y– 1)= x+y– 3
3(x– 4)– 2(y– 2)= 4(x– y)+4 

4x + 8 - 3y + 3 = x + y - 3
3x - 12 -2y -4 = 4x - 4y + 4

3x - 4y = -14
-x + 2y = 20 /*2

3x - 4y = -14
_ -2x + 4y = 40
----------------------
5x = -54 /:5
x = -10 4/5

-2x + 4y = 40
108/5 + 4y = 40
4y = 40 - 21 3/5
4y = 18 2/5 /:4
y = 23

x = -10 4/5, y = 23

 

mam nadzieję ze pomogłam :)