Question

Решите систему уравнений:
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Answer 1

$(3; -5)$

Пошаговое объяснение:

$$ \displaystyle \left \{ {{3x+y=4} \atop {5x+y=10}} \right. \Leftrightarrow \left \{ {{3x+10-5x=4} \atop {y=10-5x}} \right. \Leftrightarrow \left \{ {{(3-5)x=4-10} \atop {y=10-5x}} \right. \Leftrightarrow \left \{ {{-2x=-6} \atop {y=10-5x}} \right. \Leftrightarrow $$

$$ \displaystyle \Leftrightarrow \left \{ {{x=-6:(-2)} \atop {y=10-5x}} \right. \Leftrightarrow \left \{ {{x=3} \atop {y=10-5 \cdot 3}} \right. \Leftrightarrow \left \{ {{x=3} \atop {y=10-15}} \right. \Leftrightarrow \left \{ {{x=3} \atop {y=-5}} \right. ; $$

$(3; -5);$