diketahui vektor a (-6, 5, -2) b (-5, 4, 3) c(8, -7, 0) jika c = ma + nb maka nilai m - n = tolong :(

a = (-6,5,-2)
b = (-5,4,3)
c = (8,-7,0)
Ditanya: m - n

c = ma + nb
(8,-7,0) = m × (-6,5,-2) + n × (-5,4,3)
(8,-7,0) = (-6m,5m,-2m) + (-5n,4n,3n)

8 = -6m - 5n...(1)
-7 = 5m + 4n...(2)
0 = -2m + 3n...(3)

Eliminasi 1 dan 3
8 = -6m - 5n
0 = -6m +9n
___________ -
8 = -14n
8/-14 = n
- 4/7 = n

0 = -2m + 3n
0 = -2m + 3(- 4/7)
0 = -2m - 12/7
12/7 = -2m
- 12/14 = m
- 6/7 = m

m - n = - 6/7 - (- 4/7) = - 6/7 + 4/7 = - 2/7