Odpowiedź:
a)
[tex]\left \{ {{2x-y=6} \atop {3x+y=4}} \right.[/tex]
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5x=10/:5
x=2
2*2-y=6
4-y=6
-y=6-4
y=-2
(x,y)=(2, -2)
sprawdzenie
[tex]\left \{ {{2*2-(-2)=6} \atop {3*2+(-2)=4}} \right.[/tex]
[tex]\left \{ {{4+2=6} \atop {6-2=4}} \right.[/tex]
[tex]\left \{ {{6=6} \atop {4=4}} \right.[/tex]
b)
[tex]\left \{ {{2x-y=10} \atop {x+5y=-17/*(-2)}} \right.[/tex]
[tex]\left \{ {{2x-y=10} \atop {-2x-10y=34}} \right.[/tex]
===============
-11y=44/:(-11)
y=-4
2x-(-4)=10
2x+4=10
2x=10-4
2x=6/:2
x=3
(x,y)=(3 , -4)
sprawdzenie
[tex]\left \{ {{2*3-(/4)=10} \atop {3+5*(-4)=-17}} \right.[/tex]
[tex]\left \{ {{6+4=10} \atop {3-20=-17}} \right.[/tex]
[tex]\left \{ {{10=10} \atop {-17=-17}} \right.[/tex]
Szczegółowe wyjaśnienie:
