MATEMATIKA (SPLTV)bantuin ya secepatnya•jgn ngasal
Jawaban:
Sistem Persamaan Linear 3 Variabel
Penjelasan dengan langkah-langkah:
1.
x+3y-z=6
x+y-3z=-2
2x-y+2z=-5
x²-y²+z=…
x+3y-z=6
x+y-3z=-2 –
2y+2z=8
x+y-3z=-2
2x-y+2z=-5 +
2x+2y-6z=-2
2x-y+2z=-5 –
3y-8z=3
2y+2z=8
3y-8z=3
8y+8z=8
3y-8z=3 +
11y =11
y =11/11
y =1
3y-8z=3
3(1)+8z=3
3+8z=3
8z=3-3
8z=0
z=0/8
z=0
x+3y-z=6
x+3(1)-0=6
x+3=6
x=6-3
x=3
x=3 y=1 z=0
x²-y²+z=3²-1²+0=9-1+0=8
2. 1/x=a
1/y=b
1/z=c
3a-2b+c=5
a-5b+3c=2
2a+b+c=12
3a-2b+c=5
a-5b+3c=2
3a-2b+c=5
3a-15b+9c=6 –
13b-8c=-1
a-5b+3c=2
2a+b+c=12
2a-10b+6c=4
2a+ b+ c=12 –
-11b+5c =-8
13b-8c=-1
-11b+5c=-8
65b-40c=-5
-88b+40c=-64 +
-23b =-69
b =-69/-23
b =3
13b-8c=-1
13(3)-8c=-1
39-8c=-1
-8c=-1-39
-8c=-40
c=-40/-8
c=5
3a-2b+c=5
3(a)-2(3)+5=5
3a-6+5=5
3a-1=5
3a=5+1
3a=6
a=6/3
a=2
a=2 b=3 c=5
1/x=a 1/y=b 1/z=c
1/x=2 1/y=3 1/z=5
1=2x 1=3y 1=5z
1/2=x 1/3=y 1/5=z
3. 1/2p+1/3q-3/4r=-1
1/2a+1/3b-3/4c=-1
1/3p-2/3q-3/4r=1
1/3a-2/3b-3/4c=1
1/6p+1/3q-1/4r=-1
1/6a+1/3b-1/4c=-1
1/2a+1/3b-3/4c=-1 x 12
1/3a-2/3b-3/4c=1 x 12
6a+4b-9c=-12
4a-8b-9c=12 –
2a+12b =-24
1/3a-2/3b-3/4c=1 x 12
1/6a+1/3b-1/4c=-1 x 36
4a- 8b-9c= 12
6a+12b-9c=-36 –
-2a-20b = 48
2a+12b=-24
-2a-20b=48 +
-8b=24
b=24/-8
b=-3
2a+12b=24
2a+12(-3)=24
2a-36=24
2a=24+36
2a=60
a=60/2
a=30
6a+4b-9c=-12
6(30)+4(-3)-9c=-12
180-12-9c=-12
168-9c=-12
-9c=-12-168
-9c=-180
c=-180/-9
c=20
masing masing variabel
a=30 b=-3 c=20
maka
p=30 q=-3 z=20
Demikian
Semoga membantu dan bermanfaat!