Matematika x-y+z=3 x + 2y + 3z = 20 2x + 3y - 4z= -3 Carilah nilai x y z yang memenuhi​

estevanbatzulv – March 11, 2023

x-y+z=3 x + 2y + 3z = 20 2x + 3y - 4z= -3 Carilah nilai x y z yang memenuhi​ x - y + z = 3 … (1)
x + 2y + 3z = 20 … (2)
2x + 3y - 4z = -3 … (3)

(2) - (1)
x + 2y + 3z = 20
x - y + z = 3
_____________ -
3y + 2z = 17 … (4)

(2) x 2 - (3)
2x + 4y + 6z = 40
2x + 3y - 4z = -3
______________ -
y + 10z = 43 … (5)

(5) x 3 - (4)
3y + 30z = 129
3y + 2z = 17
___________ -
28z = 112
z = 4

Masukkan ke (4),
3y + 2z = 17
3y + 2(4) = 17
3y + 8 = 17
3y = 9
y = 3

Masukkan ke (1),
x - y + z = 3
x - 3 + 4 = 3
x + 1 = 3
x = 2 [answer.2.content]