7a - 6b - 2c = 9 6a + 7b - 9c =-2
Matematika
nafi333
Pertanyaan
7a - 6b - 2c = 9
6a + 7b - 9c =-2
6a + 7b - 9c =-2
1 Jawaban
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1. Jawaban hendrisyafa
Ini jawaban soal yang tadi
buat pemisalan dek
jika [tex] \frac{1}{x}= a [/tex]
[tex] \frac{1}{y}= b [/tex]
[tex] \frac{1}{z}= c [/tex]
pers itu menjadi
(1) 3a-4b+6c =1 x 2 6a-8b+12c = 2
(2) 9a+8b-12c=3 x 1 9a+8b-12c=3
---------------------- +
15a = 5
a = [tex] \frac{5}{15} = \frac{1}{3} [/tex] .. (1-2)
(3) 9a-4b+12c=4
(2) 9a+8b-12c= 3
-------------------- +
18a+4b = 7 ....... (2-3)
nilai a subtitusikan ke (2-3)
(2-3) 18a+4b=7
18 ([tex] \frac{1}{3} [/tex]) +4b = 7
6+4b = 7
4b = 1
b = [tex] \frac{1}{4} [/tex]
subtitusikan nilai a dan b ke pers (1)
3([tex] \frac{1}{3} [/tex]) -4 ([tex] \frac{1}{4} [/tex])+6c = 1
1-1+6c = 1
6c = 1
c = [tex] \frac{1}{6} [/tex]
a=[tex] \frac{1}{x} [/tex] --> [tex] \frac{1}{3} [/tex] = [tex] \frac{1}{x} [/tex]
x = 3
b =[tex] \frac{1}{4} [/tex] --> [tex] \frac{1}{4} = \frac{1}{y} [/tex]
y = 4
c = [tex] \frac{1}{z} [/tex] --> [tex] \frac{1}{6} = \frac{1}{z} [/tex]
z = 6