Question

Saya tunggu secepatnya!!
carilah HP(Himpunan persamaan) dr SPLTV berikut:
1. x+y+z=4
2x+2y-z=5
x-y =1
2. x+2y+3z=-1
x+y+3z=4
2x-y-z=-4

Answer 1

1) x+y+z=4
2x+2y-z=5
-------------- +
3x + 2y = 9 |x1| 3x + 2y = 9
x - y = 1 |x2| 2x - 2y = 2
--------------------------------- (+)
5x = 7
x = 7/5
x - y = 1 ~ y = 7/5 + 1 = 12/5
2x + 2y -z = 5
2(7/5) + 2(12/5) - z = 5
14/5 + 24/5 - z = 25/5
38/5 - z = 25/5
z = 38/5 - 25/5 = 13/5
2) x + 2y + 3z = -1
x + y + 3z = 4
---------------------- (-)
3y = -5
y = -5/3
x + 2y + 3z = -1 |x2|2x+4y+6z=-2
2x - y - z = -4|x1|2x-y-z=-4
------------------------------------(-)
5y+7z=2
5(-5/3)+7z=2
-25/3 + 7z = 2
7z = 2 + 25/3
7z = 6/3 + 25/3
7z = 31/3 ÷ 7= 31/21
x + y + 3z = 4
x - 5/3 + 31/21 = 4
x = 4 + 5/3 - 31/21
x = 84/21 + 35/21 - 31/21
x = 88/21