Question

Tentukan himpunan penyelesaian dari
x/2 + y/4 = 6
y/6 - z/2 = -2
z/4 + x/3 = 4
tolong jawab ya bagi yang bisa...

Answer 1

X/2 + y/4 = 6
-----------------(×4)
2x + y = 24 ... pers 1
y/6 - z/2 = -2
------------------(×6)
y - 3z = -12
y = 3z - 12 ... pers 2
z/4 + x/3 = 4
-------------------(×12)
3z + 4x = 48
4x = 3z - 48
x = ¾z - 12 ... pers 3
subtitusi pers 1 dan 2 ke pers 3
2x + y = 24
2(¾z - 12) + (3z - 12) = 24
3/2z - 24 + 3z - 12 = 24
3/2z + 3z = 24 + 24 + 12
9/2 z = 60
z = 60 ÷ 9/2
z = 60/1 × 2/9
z = 120/9
z = 13⅓

y = 3z - 12
y = (3×120/9 ) - 12
y = 40 - 12
y = 28

x = ¾z - 12
x = (120/9 × 3/4) - 12
x = 360/36 - 12
x = 10 - 12
x = -2