astultz309459
06.07.2019 •
Mathematics
*25 points! * state in detailed terms on how to solve a three variable system, complete with an example.
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Ответ:
Pick two pairs
4x - 3y + z = - 102x + y + 3z = 0
eliminate the same variable from each system
4x - 3y + z = - 10
2x + y + 3z = 0
4x - 3y + z = - 10
-4x - 2y - 6z = 0
-5y - 5z = - 10
2x + y + 3z = 0
- x + 2y - 5z = 17
2x + y + 3z = 0
-2x + 4y - 10z = 34
5y - 7z = 34
Solve the system of the two new equations:
-5y - 5z = - 10
5y - 7z = 34
-12z = 24
which is , z = - 2
-5y - 5(- 2) = - 10
-5y = - 20
wich is , y = 4
substitute into one of the original equations
- x + 2y - 5z = 17
- x + 2(4) - 5(- 2) = 17
- x + 18 = 17
- x = - 1
x = 1
which is , (x, y, z) = (1, 4, - 2)
Does 2(1) + 4 + 3(- 2) = 0 ? Yes
Ответ:
-1+(-7) =-8
-8/2 =-4
x= -4
2+4 = 6
6/2 =3
y=3
So the mid point is (-4,3)