Question

Rozwiąż układy równań
a ){ 11k + 17 l = 45
{ 13k + l = 15
b) { 12p - 7r = 10
{ p - 3r = -69

proszę o szybkie rozwiązanie

Answer 1

11k + 17 l = 45
13k + l = 15


11k + 17 l = 45
l = 15 - 13k


11k + 17*(15 - 13k) = 45
l = 15 - 13k


11k + 255 - 221k = 45
l = 15 - 13k


11k - 221k = 45 - 255
l = 15 - 13k


-210k = - 210
l = 15 - 13k


k = - 210 : (-210)
l = 15-13k


k = 1
l = 15 - 13 * 1


k =1
l = 15 - 13


k =1
l = 2

spr.
11k + 17 l = 45
L = 11k + 17l = 11* 1 + 17*2= 11 + 34= 45
P= 45
45=45
L=P



12p - 7r = 10
p - 3r= - 69


12p - 7r = 10
p = - 69 + 3r


12*(- 69 + 3r) - 7r = 10
p = - 69 + 3r


- 828 + 36r - 7r = 10
p = - 69 + 3r


36r - 7r = 10 + 828
p = - 69 + 3r


29r = 838
p = -69 + 3r


r= 838 : 29
p = - 69 + 3r


r= 28 i 26/29
p = - 69 + 3* 28 i 26/29


r= 28 i 26/29
p = - 69 + 3* 838/29


r = 28 i 26/29
p = - 69 + 2514/29


r= 28 i 26/29
p = - 69 + 86 i 20/29


r= 28 i 26/29
p = 17 i 20/29

spr.
p - 3r= - 69
L = p - 3r = 17 i 20/29 - 3*28 i 26/29 = 17 i 20/29 - 3* 838/29 = 17 i 20/29 - 2514/29 = 17 i 20/29 - 86 i 20/29= - 69
P = - 69
- 69 =- 69
L = P