Question

Carilah HP dari : -4x + 3y + z = 16, 2x + 7y +3z = 8, dan x - 3y - 2z = -14

Answer 1

-4x + 3y + z = 16
x - 3y - 2z = -14
tambahkan
-3x - z = 2 ...(1)
.
-4x + 3y + z = 16 ...(X 7) ---> -28x + 21y + 7z  112
2x + 7y + 3z = 8....(X3) ----->  6x + 21y + 9z = 24
kurangkan
-34 x - 2z = 88 ..(2)
..
-3x - z = 2...........(X2) --> -6x - 2z = 4
-34x - 2z = 88.....(X1) --> -34x - 2z= 88
kurangkan
28x = -84 --> x = -3 dan z = -3x - 2 = 9-2 = 7
dan -4x + 3y + z = 16 --> 3y = 16 -z+4x = 16-7-12= -3
y = -1
(x,y,z) = (-3, -1, 7)