Odpowiedź :
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]
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: