Penjelasan dengan langkah-langkah:

1. 4x + y + z =6.....(I)

x + 2y + z =8...... (II)

4x + 3y +3z =24.....(III)

(I) 4x + y + z = 6

(II) x+2y + z =8 _

3x -y = - 2.........(IV)

(II) x + 2y + z =8 |×3| 3x +6y +3z = 24

(III)4x + 3y +3z =24 |×1| 4x + 3y +3z =24 _

-x +3y= 0.......(V)

(IV) 3x -y = - 2 |×1| 3x -y = - 2

(V) -x +3y = 0 |×3| -3x +9y = 0 +

-8y = -2

y = -2/-8

y = 2/8

-x +3y = 0 x + 2y + z =8

-x +3(2/8)= 0 6/8 +2(2/8) +z =8

-x +6/8 = 0 6/8 +4/8 -8 = -z

-x = - 6/8 6/8 +4/8 -64/8= -z

x = 6/8 -54/8 = -z

z = 54/8

Hp{(6/8, 2/8, 54/8)}

2. 2×+3y-z=12.....(I)

×-4y+z=24.......(II)

3×+y+2z=19.....(III)

(I) 2×+3y-z=12

(II) ×-4y+z=24 +

3x -y = 36....(IV)

(II) ×-4y+z=24 |×2| 2x -4y +2z = 24

(III) 3×+y+2z=19 |×1| 3× + y + 2z=19 _

-x -5y = 5.......(V)

(IV) 3x -y = 36 |×5| 15 x -5y = 180

(V) -x -5y =5 |×1| -x - 5y = 5 _

16x = 175

x = 175/16

3x -y = 36

3(175/16) -y = 36

525/16 -y = 36

-y = 36 - 525/16

-y = 576/16 - 525/16

-y = 51/16

y = -51/16

2×+3y-z=12

2(175/16) +3(-51/16)-z = 12

350/16 - 153/16 -z =12

350/16 - 153/16 -12 = z

350/16 - 153/16 -192/16 = z

5/16 = z

z= 5/16

Hp {(175/16, -51/16, 5/16)}

Smoga Membantuu:)