1.Temukan solusi dari setiap persamaan berikut

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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