Question

Решите систему уравнения
2х-3у=1
4х+5у=-11
Если можно на тетрадке

Answer 1

$\left \{ {{2x-3y=1} \atop {4x+5y=-11}} \right. \\ \left \{ {{-4x+6y=-2} \atop {4x+5y=-11}} \right. \\ \left \{ {{6y=4x-2} \atop {11y=-13}} \right. \\ \left \{ {{6y=4(-\frac{13}{11})-2} \atop {x= -\frac{13}{11} }} \right. \\ \left \{ {{y= -\frac{74}{66} } \atop {x= -\frac{13}{11}}} \right.$

Answer 2

$\left \{ {{2x-3y=1} \atop {4x+5y=-11}} \right. { {{|*(-2)} \atop {}} \right. \left \{ {{-4x+6y=-2} \atop {4x+5y=-11}} \right. \left \{ {{2x-3y=1} \atop {11y=-13}} \right. \left \{ {{2x+\frac{39}{11}=1 } \atop {y=- \frac{13}{11} }} \right. \left \{ {{2x=- \frac{28}{11} } \atop {y=- \frac{13}{11} }} \right. \\ \left \{ {{x=- \frac{14}{11} } \atop {y=- \frac{13}{11} }} \right.$
Ответ: $(- \frac{14}{11} ;- \frac{13}{11} )$