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Klaudia181888go
Rozwiązane

1.Rozwiaz metoda podstawiania
-2x=3y-2
y-6x=-6

2.Roziwaz metodą przeciwnych czynników
-2x+3y=5
6x-8y=3​

1Rozwiaz Metoda Podstawiania 2x3y2y6x62Roziwaz Metodą Przeciwnych Czynników 2x3y56x8y3 class=

Odpowiedź :

Vivigo

Zadanie 1.

[tex]\left \{ {{-2x=3y-2} \atop {y-6x=-6}} \right.\\\\\left \{ {{-2x-3y=-2} \atop {y=-6+6x}} \right.\\\\\left \{ {{-2x-3(6x-6)=-2} \atop {y=6x-6}} \right.\\\\\left \{ {{-2x-18x+18=-2} \atop {y=6x-6}} \right.\\\\\left \{ {{-20x=-2-18} \atop {y=6x-6}} \right.\\\\\left \{ {{-20x=-20\ /\ :\ (-20)} \atop {y=6x-6}} \right.\\\\\left \{ {{x=1} \atop {y=6\cdot1-6}} \right.\\\\\left \{ {{x=1} \atop {y=6-6}} \right.\\\\\left \{ {{x=1} \atop {y=0}} \right.[/tex]

Zadanie 2.

[tex]\left \{ {{-2x+3y=5\ /\ \cdot\ 3} \atop {6x-8y=3}} \right.\\\\\left \{ {{-6x+9y=15} \atop {6x-8y=3}} \right.\\+\\------\\y=18\\\\\left \{ {{y=18} \atop {6x-8\cdot18=3}} \right.\\\\\left \{ {{y=18} \atop {6x-144=3}} \right.\\\\\left \{ {{y=18} \atop {6x=3+144}} \right.\\\\\left \{ {{y=18} \atop {6x=147\ /\ :\ 6}} \right.\\\\\left \{ {{y=18} \atop {x=24,5}} \right.[/tex]

Jolanta37go

Odpowiedź:

1.

-2x=3y-2

y-6x=-6

-2x=3y-2

y=-6+6x

-2x=3(-6+6x)-2

-2x=-18+18x-2

-2x-18x=-20

-20x=-20   /:(-20)

x=1

2.

-2x+3y=5   /*3

6x-8y=3

-6x+9y=15

6x-8y=3

-----------------

y=18

-2x+3*18=5

-2x+54=5

-2x=5-54

-2x=-49   /:(-2)

x=24 1/2

Szczegółowe wyjaśnienie:

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