Question

Selesaikan SPLTV berikut dengan caranya, terserah pake metode apa

x-2y+z=-1
2x+y-3z=3
3x+3y-2z=10

Answer 1

Verified answer

X - 2y + z = -1  |x2
2x + y - 3z = 3 |x1
2x - 4y + 2z = -2
2x + y - 3z = 3
_______________ _
       -3y + 5z = -5

x - 2y + z = -1      |x3
3x + 3y - 2z = 10 |x1
3x - 6y + 3z = -3
3x + 3y - 2z = 10
________________ _
      -9y + 5z = -13

-3y + 5z = -5   |x3
-9y + 5z = -13 |x1
-9y + 15z = -15
-9y + 5z = -13
______________ -
        20z = -2
            z = -10

-3y + 5z = -5
-3y + 5(-10) = -5
-3y -50 = -5
-3y = -5 + 50
-3y = 45
   y = -15

x - 2y + z = -1
x - 2(-15) -10 = -1
x + 30 - 10 = -1
x + 20 = -1
x = -1 - 20
x = -21

HP = {-21, -15, -10}