A)x+1/2(to 2 ma być na dole)-2y =11
x-y+1/5(5 ma być na dole)=1

b) x+2/3(3 ma być na dole)+2y=11
3x+y-3/(2 ma być na dole)2=4

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

d) x+5/3(3 ma być na dole) -(1-y)= -3
x+5/2(ma być na dole) - (x-1)=4



e) 1/2(x-3)+1/3 (x+1)=1
1/2 (-||-||-||-) - 1/4 (y-1)=0

f) 2/5(x+7)-1/3(y+3)
1/2(x-4)+2/3(6-y)=3

2

Odpowiedzi

2009-11-28T20:04:46+01:00
2009-11-28T21:19:03+01:00
A) x+1/2-2y=11 |-1/2 ; +2y
x-y+1/5=1

x=11-1/2+2y
11-1/2+2y-y+1/5=1

x=10i1/2+2y
y=-9i7/10

y=-9i7/10
x=105/10-194/10

y=-9i7/10
x=-89/10

y=-9i7/10
x=-8i9/10

b)x+2/3+2y=11
3x+y-3/2=4

x=11-2/3-2y
33-3-6y-3/2+y=4

x=10i1/3-2y
-5y=-24i1/2

x=10i1/3-2y
y=4i9/10

y=4i9/10
x=8/15

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

3/2x-9/2+2/3y-2/3=5
3/4x-3/4+4/3y-16/3=3

9x-27+4y-4=30
9x-9+16y-64=36

9x+4y=61
9x+16y=109

-9x-4y=-61
9x+16y=109

4y=48
-9x+4y=-61

y=12
-9x+48=-61

y=12
-9x=-109

y=12
x=-109/9

y=12
x=12i1/9

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

x+5/3-1+y=-3
x+5/2-x+1=4

3x+5-3+3y=-9
2x+5-2x+2=8

3x+3y=-11
7≠8
ten układ równań nie ma rozwiązań

e)1/2(x-3)+1/3 (x+1)=1
1/2 (x-3+1/3) - 1/4 (y-1)=0

1/2x-3/2+1/3x+1/3=1
1/2x-3/2+1/6-1/4y+1/4=0

5/6x=-1/6
3/6x-1/4y=8/6+1/4

x=-5
3/6x-1/4y=19/12

x=-5
15/6-1/4y=19/12

x=-5
-1/4y=-11/12

x=-5
y=11/3

x=-5
y=2i2/3

f)2/5(x+7)-1/3(y+3) -> tutaj nie masz "=" więc nie robie :))