Himpunan penyeleseian sistem persamaan x+y-2=2 , 2x-y+2, x+3y+2z=7 adalah

x + y -2=2 ....... pers 1
2x - y + 2 ......... pers 2
x + 3y +2z = 7 ..... pers 3

metode eliminasi pers 1 &2
x + y = 4
2x - y = -2
+ ( y dtmbah)
x + 2x = 4-2
3x = 2
x = 2/3

subtitusi x = 2/3 kepers 1
x + y - 2 = 2
2/3 + y - 2 = 2
y = 2 +2 -2/3
y = 4-2/3
y = 12/3 - 2 /3
y = 10/3

subtitusi x = 2/3 dn y= 10/3 ke pers 3
x + 3y + 2z = 7
2/3 + 3(10/3) + 2z = 7
2/3 + 30/3 + 2z = 7
32/3 + 2z = 7
2z = 7-32/3
2z = 21/3 - 32/3
2z = -11/3
z = -11/3/2
z = -11/6

jadi x = 2/3 , y = 10/3 dan z = -11/6

smoga mmbntu :)