Question

Решите систему уравнений способом постановки
A)
8*x + 2*y = 28
x - 3*y = -16
Б)
2x+3y=16
x-4y=-16

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Answer 1

Объяснение:

A)

$\left \{ {{8x+2y=28\ |:2} \atop {x-3y=-16}} \right. \ \ \ \ \ \left \{ {{4x+y=14} \atop {x=3y-16}} \right. \ \ \ \ \left \{ {{4*(3y-16)+y=14} \atop {x=3y-16}} \right.\ \ \ \ \left \{ {{12y-64+y=14} \atop {x=3y-16}} \right.\ \ \ \ \left \{ {{13y=78\ |:13} \atop {x=3y-16}} \right. \ \ \ \ \left \{ {{y=6} \atop {x=2}} \right..$

Ответ: (2;6).

Б)

$\left \{ {{2x+3y=16} \atop {x-4y=-16}} \right.\ \ \ \ \left \{ {{2*(4y-16)+3y=16} \atop {x=4y-16}} \right. \ \ \ \ \left \{ {{8y-32+3y=16} \atop {x=4y-16}} \right.\ \ \ \ \left \{ {{11y=48\ |:11} \atop {x=4y-16}} \right. \ \ \ \ \left \{ {{y=\frac{48}{11} } \atop {x=\frac{16}{11} }} \right. .$

Ответ: (16/11; 48/11).