Jawaban:
-1
Penjelasan dengan langkah-langkah:
x + 2y + 3z = -6
2x + y - z = 3
-x + y + z = 0 → kali 3 → -3x + 3y + 3z = 0
-x + y + z = 0
--------------------- +
x + 2y = 3
-3x + 3y + 3z = 0
----------------------------- -
-4x + y = 6 → dikali 2 → -8x + 2y = 12
-8x + 2y = 12
x + 2x = 3
----------------------- -
-9x = 9
x = 9 : -9
x = -1
Jawabannya C
Kelas 10
Pelajaran Matematika
Bab Persamaan Linear Tiga Variabel
C. -1
diketahui
x + 2y + 3z = -6 ........(1)
2x + y - z = 3 .............(2)
-x + y + z = 0 .............(3)
ditanya:
nilai x = ...?
Jawab:
(1&2)
x + 2y + 3z = -6 |×1
2x + y -z = 3 |× 2
x+ 2y+3z=-6
4x+2y-2z=6 _
-3x + 5z = -12 .......(4)
(2&3)
2x+y-z=3
-x+y+z=0 _
3x -2z = 3 .......(5)
(4&5)
-3x+5z=-12
3x-2z=3 +
3z = -9
z = -3
# cari nilai x
3x -2z = 3
3x - 2(-3) = 3
3x + 6 = 3
3x = 3 -6
3x = -3
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Jawaban:
-1
Penjelasan dengan langkah-langkah:
x + 2y + 3z = -6
2x + y - z = 3
-x + y + z = 0 → kali 3 → -3x + 3y + 3z = 0
2x + y - z = 3
-x + y + z = 0
--------------------- +
x + 2y = 3
-3x + 3y + 3z = 0
x + 2y + 3z = -6
----------------------------- -
-4x + y = 6 → dikali 2 → -8x + 2y = 12
-8x + 2y = 12
x + 2x = 3
----------------------- -
-9x = 9
x = 9 : -9
x = -1
Jawabannya C
Kelas 10
Pelajaran Matematika
Bab Persamaan Linear Tiga Variabel
Jawaban:
C. -1
Penjelasan dengan langkah-langkah:
diketahui
x + 2y + 3z = -6 ........(1)
2x + y - z = 3 .............(2)
-x + y + z = 0 .............(3)
ditanya:
nilai x = ...?
Jawab:
(1&2)
x + 2y + 3z = -6 |×1
2x + y -z = 3 |× 2
x+ 2y+3z=-6
4x+2y-2z=6 _
-3x + 5z = -12 .......(4)
(2&3)
2x+y-z=3
-x+y+z=0 _
3x -2z = 3 .......(5)
(4&5)
-3x+5z=-12
3x-2z=3 +
3z = -9
z = -3
# cari nilai x
3x -2z = 3
3x - 2(-3) = 3
3x + 6 = 3
3x = 3 -6
3x = -3
x = -1