Odpowiedzi

2009-09-07T18:39:45+02:00
A) {1/2x-1/3(y-3)=3/2 //*6
1/3(x-1)-1/2y=0 //*6

3x-2(y-3)=9
2(x-1)-3y=0

3x-2y+6=9
2x-2-3y=0

x=(3-2y)/3
2(3-2y)/3-2-3y=0 //*3

x=(3-2y)/3
2(3-2y)-6-9y=0

x=(3-2y)/3
6-4y-6-9y=0

x=(3-2y)/3
13y=0

x=(3-2y)/3
y=0

x=1
y=0

b){ x/2+y/3=3 //*6
2x-5/3=3 //*3

3x+2y=18
6x-5=9

3x+2y=18
x=14/6

7+2y=18
x=14/6

y=5.5
x=14/6

c) {2(x+1)-3(y+2)=-3
x+2y=2x-y+1

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

3x+3y=1
x=3y-1

9y-3+3y=1
x=3y-1

12y=4
x=3y-1

y=1/3
x=0

d) { 2x+y-3(x-y)=4
4(x+y)-7x-y=6

2x+y-3x+3y=4
4x+4y-7x-y=6

-x+4y=4
-3x+3y=6 //:3

x=4y-4
y=x+2

x=4x+8-4
y=x+2

-3x=4
y=x+2

x=-4/3
y=1/3
2009-09-07T19:00:50+02:00
A) {1/2x-1/3(y-3)=3/2 |*6
1/3(x-1)-1/2y=0|*6
{3x-y+3=9|-9
2x-2-3y=0
{3x-y-6=0|+y
2x-2-3y=0
{y=3x-6(*)
2x-2-3(3x-6)
{(*)
2x-2-9x+18=0
{(*)
-6x+16=0|+6x
{(*)
x=3
{y=3*3-6
x=3
{y=3
x=3


b){ x/2+y/3=3 *6
2x-5/3=3 *3
{3x+2y=18
6x-5=9+5
{3x+2y=18
6x=14/6
{3x+2y=18
x=7/3
{3*7/3+2y=18-7
x=7/3
{2y=11 /2
x=7/3
{y=5 1/2
x= 2 1/3

{2(x+1)-3(y+2)=-3
x+2y=2x-y+1

2x+2-3y-6=-3
x=y-1

2(y-1)-3y-4=-3
x=y-1

2y-1-3y-4=-3
x=y-1

y=-2
x=-3


d) { 2x+y-3(x-y)=4
4(x+y)-7x-y=6

-x+4y=4
-3x+3y=6

x=4-4y
15y=18

x=4-4y
y= 6/5

x=-4/5
y=6/5

2009-09-07T20:23:33+02:00
Niestety nie pomogę♥ ci choć bym bardzo chciała, ale to moja najsłabsza strona maty