Решите систему уравнений:[tex] \left \{ {{2(3x-y)-5=2x+3y} } \atop {5-(x-2y)=4y+16}} \right. [/tex]. Created by ГариТ0п0р. algebra-ru

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June 2022 2 6 Report

Решите систему уравнений:

[tex] \left \{ {{2(3x-y)-5=2x+3y} } \atop {5-(x-2y)=4y+16}} \right. [/tex]

NNNLLL54

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$\left \{ {{2(3x-y)-5=2x+3y} \atop {5-(x-2y)=4y+16}} \right. \; \left \{ {{6x-2y-5=2x+3y} \atop {5-x+2y=4y+16}} \right. \; \left \{ {{4x-5y=5} \atop {-x-2y=11\; |\cdot 4}} \right. \; \oplus \\\\ \left \{ {{4x-5y=5} \atop {-13y=49}} \right. \; \left \{ {{4x+\frac{245}{13}=5} \atop {y=-\frac{49}{13}}} \right. \; \left \{ {{x=-\frac{45}{13}=-3\frac{6}{13}} \atop {y=-\frac{49}{13}=-3\frac{10}{13}} \right. \\\\Otvet:\; \; (-3\frac{6}{13},-3\frac{10}{13})\; .$

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koingrel

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Решение во вложении :)

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