4X+2Y-Z = 10
3X-Y+2Z = -7
2X-3Y-5Z = 1
1.Temukan solusi dari setiap persamaan berikut
4X+2Y-Z = 10
-Z=10-4X-2Y
Z=-10+4X-2Y
PERSAMAAN 1
2X-3Y-5Z = 1
2X-3Y-5(-10+4X-2Y) = 1
2X-3Y+50-20X+10Y=1
2X-20X-3Y+10Y=1-50
-18X+7Y=-49
PERSAMAAN 2
3X-Y+2Z = -7
3X-Y+2(-10+4X-2Y)=-7
3X-Y-20+8X-4Y=7
3X+8X-Y-4Y=7+20
11X-5Y=27
ELIMINASI
(-18X+7Y=-49)×5
(11X-5Y=27)×7
-90X+35Y=-245
77X-35Y=189
_________________+
-12X=-56
X=56/12
X=14/3
11X-5Y=27
11(14/3)-5Y=27
154/3-5y=27
-5Y=27-154/3
-5Y=81/3-154/3
-5Y=-73/3
y=73/15
4(14/3)+2(73/15)-Z = 10
56/3+146/15-z=10
168/15+146/15-z=10
214/15-z=10
-z=10-214/15
-z=150/15-214/15
-z=-64/15
z=64/15