2. a)
{3m-2n=5
{2n=15-m
3m-(15-m)=5
m=5
2n=15-5
n=5
(m, n) = (5, 5)
2. в)
{3k-5p=14
{k=1-2p
3(1-2p)-5p=14
p= -1
k= 1-2*(-1)
k=3
(k, p) = (3, -1)
Объяснение:
3.a)
{x=10-y
{1/2 * (x-y) =1
1/2 *(10-y-y)=1
y=4
x=10-4
x=6
(x, y) = (6, 4)
4. 2)
{x=2-y
{y+z=4
{x+z=6
{2-y+z=6
{-y+z=4
2z= 8
z=4
-y+4=4
y=0
x=2-0
x=2
(x, y, z) = (2, 0, 4)
2. a)
{3m-2n=5
{2n=15-m
3m-(15-m)=5
m=5
2n=15-5
n=5
(m, n) = (5, 5)
2. в)
{3k-5p=14
{k=1-2p
3(1-2p)-5p=14
p= -1
k= 1-2*(-1)
k=3
(k, p) = (3, -1)
Объяснение:
3.a)
{x=10-y
{1/2 * (x-y) =1
1/2 *(10-y-y)=1
y=4
x=10-4
x=6
(x, y) = (6, 4)
4. 2)
{x=2-y
{y+z=4
{x+z=6
{y+z=4
{2-y+z=6
{y+z=4
{-y+z=4
2z= 8
z=4
-y+4=4
y=0
x=2-0
x=2
(x, y, z) = (2, 0, 4)