{x − y = 3{3(x − 2) = 2x + y
{x + 5y = 8{2x − y = 5
ROZWIĄŻ DWA UKŁADY RÓWNAŃ
{ x-y=3
{ 3(x-2)=2x+y
{x-y=3
{3x -6=2x+y /+6 -2x -y
{x -y=3 /*(-1)
{x-y= 6
{ -x +y = -3
{ x-y = 6
0= 3 - Układ jest sprzeczny
{x+5y=8 /-5y
{2x-y=5
{ x= 8-5y
{2(8-5y)-y = 5
{x = 8-5y
{16-11y=5 /-16
{ x=8-5y
{ -11y= -11 /: (-11)
{ y = 1
{ y=1
{ x + 5y= 8
{y=1
{ x + 5*1 = 8 /-5
{y = 1
{ x = 3
{3x-6=2x+y
(x-y=6 /*(-1)
{-x+y=-6
0=-3 równanie sprzeczne
{x+5y=8
{2x-y=5 /*5
{10x-5y=25
11x=33
x=3
2*3-y=5
-y=-1
y=1
{x=3
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{ x-y=3
{ 3(x-2)=2x+y
{x-y=3
{3x -6=2x+y /+6 -2x -y
{x -y=3 /*(-1)
{x-y= 6
{ -x +y = -3
{ x-y = 6
0= 3 - Układ jest sprzeczny
{x+5y=8 /-5y
{2x-y=5
{ x= 8-5y
{2(8-5y)-y = 5
{x = 8-5y
{16-11y=5 /-16
{ x=8-5y
{ -11y= -11 /: (-11)
{x = 8-5y
{ y = 1
{ y=1
{ x + 5y= 8
{y=1
{ x + 5*1 = 8 /-5
{y = 1
{ x = 3
{x-y=3
{3x-6=2x+y
{x-y=3
(x-y=6 /*(-1)
{x-y=3
{-x+y=-6
0=-3 równanie sprzeczne
{x+5y=8
{2x-y=5 /*5
{x+5y=8
{10x-5y=25
11x=33
x=3
2*3-y=5
-y=-1
y=1
{x=3
{y=1