Question

3x + y + 4z = 4
5x - y + 3z = 19
2x + 2y + 3z = -5

dengan caranya!!!

Answer 1

Verified answer

X : 2
y : -6
z : 1
mohon dikoreksu kembali, semoga bemanfaat.

Answer 2

5x - y + 3z = 19
2x +2y + 3z = -5
————————— (-)
3x + 3y = 24

3x + y + 4z = 4........×3
2x + 2y + 3z = -5....×4

9x + 3y + 12z = 12
8x + 8y + 12z = -20
—————————— (-)
x - 5y = 32

3x + 3y = 24...×5
x - 5y = 32...×3

15x + 15y = 120
3x - 15y = 96
———————— (+)
18x = 24
x = 24/18
x = 1 1/3

2x + 3y = 24
2(4/3) + 3y = 24
3y = 24 - 10/3
3y = 72/3 - 10/3
3y = 62/3
y = 62/3 : 3/1 = 62/3 × 1/3
y = 62/9
y = 6 8/9

3x + y + 4z = 4
3(4/3) + (62/9) 4z = 4
4z = 4 -13/3 -62/9
4z = 36/9 -39/9 -62/9
z = -65/9 : 4/1 = -65/9 × 1/4
z = -65/45
z = -13/9 = -1 4/9

HP = {1 1/3 ,6 8/9 & -1 4/9}

#maaf jika kurang tepat