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Rezolvati sistemul de ecuatii
{10x-3y=38
{6x+5y=50


Rezolvati Sistemul De Ecuatii10x3y386x5y50 class=

Răspuns :

[tex] \left \{ {{10x-3y=38} \atop {6x+5y=50}} \right. \\ \left \{ {{30x-9y=114} \atop {30x+25y=250}} \right. \left \{ {34{y=136} \atop {6x+5y=50}} \right. \\ \left \{ {{y=4} \atop {6x=50-20}} \right. \\ \left \{ {{y=4} \atop {x=5}} \right. \\ [/tex]
S={5;4}
10x-3y=38 --> x=(38+3y)÷10
6x+5y=50 --> x= (50-5y)÷6
--> (38+3y)÷10=(50-5y)÷6 /•6•10
6•(38+3y)=10•(50-5y)
228+18y=500-50y /+50y-228
68y=272 /÷68
Y=4
X= (38+3y)÷10= (38+3•4)÷10= (38+12)÷10= 50÷10= 5
X=5