найти точку пересечения трех плоскостей, которые заданы уравнениями:
x + y + z = 1
x - 2y = 0
2x + y + 3z + 1 = 0
x + y + z = 1
x - 2y = 0
2x + y + 3z + 1 = 0
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2y + y + z = 1
2•2y + y + 3z + 1 = 0
x = 2y
3y + z = 1
5y + 3z + 1 = 0
x = 2y
z = 1 - 3y
5y + 3•(1 - 3y) + 1 = 0
x = 2y
z = 1 - 3y
5y + 3 - 9y + 1 = 0
x = 2y
z = 1 - 3y
4 - 4y = 0
y = 1
x = 2
z = -2
Ответ: (2; 1; -2).