Question

8p-5q=-11. 5p-4q=-6. решите систему уравнений​

Answer 1

$\left \{ {{8p-5q=-11|\cdot 4\; \; \; } \atop {5p-4q=-6|\cdot (-5)}} \right.\; \left \{ {{32p-20q=-44} \atop {-25p+20q=30}} \right. \; \oplus \; \left \{ {{7p=-14} \atop {5p-4q=-6}} \right.\; \; \left \{ {{p=-2} \atop {5\cdot (-2)-4q=-6}} \right.\\\\\\\left \{ {{p=-2} \atop {4q=-10+6}} \right. \; \; \left \{ {{p=-2} \atop {4q=-4}} \right. \; \; \left \{ {{p=-2} \atop {q=-1}} \right. \; \; \; \Rightarrow \; \; \; (p,q)=(-2,-1)$