Question

решите систему линейных уравнений 5x−8y=−4, 8x−5y=17. ​

Answer 1

Ответ:

$(4;3)$

Объяснение:

$\left \{ {{5x-8y=-4} \atop {8x-5y=17}} \right. \Rightarrow \left \{ {{5x-8y=-4} \atop {13x-13y=13}} \right. \Rightarrow \Rightarrow \left \{ {{5x-8y=-4} \atop {x-y=1}} \right. \Rightarrow \left \{ {{5x-8y=-4} \atop {x=y+1}} \right. \Rightarrow \left \{ {{5(y+1)-8y=-4} \atop {x=y+1}} \right. \Rightarrow \left \{ {{5y+5-8y=-4} \atop {x=y+1}} \right. \Rightarrow \left \{ {{-3y=-9} \atop {x=y+1}} \right. \Rightarrow \left \{ {{y=3} \atop {x=3+1=4}} \right.$