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9y+10x=21
4y+6x=18
Va rog, ajutati-ma!


Răspuns :

[tex] \left \{ {{9y+10x=21|\cdot 3} \atop {4y+6x=18|\cdot 5}} \right. \Leftrightarrow \left \{ {27y+30x=63} \atop {20y+30x=90}} \right.\\ Daca\ scadem\ relatiile: 7y/= -27\Rightarrow \boxed{y=-\frac{27}{7}}\\ 4\cdot \left(-\dfrac{27}{7}}\right)+6x=18\\ -\dfrac{108}{7}+6x=18\\ 6x=18+\dfrac{108}{7}\\ x=3+\dfrac{18}{7}\Rightarrow \boxed{x=\dfrac{39}{7}}[/tex]