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| 2x-3y=8
Solutia sistemului | este x=? y=?
| 3x+2y=-1


Răspuns :

[tex]2x-3y=8\\ x= \frac{8+3y}{2} \\ 3x+2y= - 1 \\ 3(\frac{8+3y}{2}) +2y=-1 \\ 24+9y+4y=-2 \\ 13y=-2-24 \\ 13y=-26 \\ y=-2 \\ [/tex]
dar
[tex] x= \frac{8+3y}{2} \\ x= \frac{8-6}{2} = \frac{2}{2} =1[/tex]
Verificare
2x-3y=8⇒2×1-3×(-2)=8⇒2-+6=8⇒8=8