POMOCY!!!! na jutro!!

układy równań


a) [tex]\left \{ {{x + y = -7 } \atop {x=2}} \right.[/tex]

b) [tex]\left \{ {{2a - 3b = - 14} \atop {a = -2b }} \right.[/tex]

c) [tex]\left \{ {{l = k + 4} \atop {2k + l = 13 }} \right.[/tex]

d) [tex]\left \{ {{ y-2x=5 } \atop {2y + x = 10}} \right.[/tex]


Odpowiedź :

Odpowiedź:

a)

x + y = 7

x = 2

2 + y = 7

y = 7 - 2 = 5

odp: x = 2 , y = 5

b)

2a - 3b = - 14

a = - 2b

2(- 2b) - 3b = - 14

- 4b - 3b = - 14

- 7b = - 14

7b = 14

b = 14/7 = 2

a = - 2b = - 2 * 2 = - 4

odp: a = - 4 , b = 2

c)

l = k + 4

2k + l = 13

2k + k + 4 = 13

3k = 13 - 4 = 9

k = 9/3 = 3

l = k + 4 = 3 + 4 = 7

odp: k = 3 , l = 7\

d)

y - 2x = 5

2y + x = 10 | * 2

y - 2x = 5

4y + 2x = 20

dodajemy równania

y + 4y - 2x + 2x = 5 + 20

5y = 25

y = 25/5 = 5

y - 2x = 5

5 - 2x = 5

- 2x = 5 - 5 = 0

x = 0

odp: x = 0 , y = 5