Question

Rozwiąż układy równań metodą przeciwnych współczynników:

1. 5p-2r=21

3p+5r=-6

2. 2x-3y=10

5x+5y=0

3. 5v₁+4v₂=4

7v₁+5v₂=6

4. 4x+5y=12,3

3x-2y=-4

5. 3x-0,2y=35

2,5x-5y=5

Na teraz :) Dam najjj :)

Answer 1

1. 5p-2r=21/ *5                                                   

    3p+5r=-6/ *2                                                        

 

 25p -10p = 105

6p + 10r = -12

 

31p=93/ 31

p=3

15-2r=21  -2r=6/ -2    r=-3

 

2. 2x-3y=10 / *5

    5x+5y=0  / * 3

 

10x -15y=50

15x+ 15y = 0

 

25x=50     x= 2              10+5y=0 5y=-10  y=-2

 

3. 5v₁+4v₂=4 *-5

    7v₁+5v₂=6 *4

-25v-20v2= -20

28v+20v2=24

 

3v=4 / 3             v2= 0.6

v=1.3

 

 

4. 4x+5y=12,3 *2

    3x-2y=-4  *5

 

8x + 10y = 24.6

15x -10y--20

23x=4.6/23

x= 0.2                                          1.6+10y=24.6

                                                           10y=23

                                                              y=2,3

 

 

5. 3x-0,2y=35 * 2,5

     2,5x-5y=5   * -3

 7.5x -0.5y=87.5

-7.5x+1,5y= -15

 

y=72.5        3x-14.5=35

                        3x=20,5/3

                          x=6,83