Question

Bab SPLTV, tolong bantu no 6 & 7 ya kak makasih kakk

Answer 1

Verified answer

Jawab

(6)
eliminasi (1) dan(2)
5x - 3y + 2z = 3 ....| kali 3
3x - 4y + 3z = - 3...| kali 2

15x -9y + 6z = 9
6x -8y +6z = -6
.........................(-)
9x - y = 15...(i)

eliminasi (1) dan (3)
5x - 3y + 2z = 3...|kali 2
2x + 3y - 4z = 9

10x - 6y + 4z  = 6
2x + 3y - 4z = 9
.........................(+)
12x - 3y = 15 atau
4x - y  = 5...(ii)

(i) dan (ii) eliminsi
9x - y = 15
4x - y = 5
.................(-)
5x = 10
x = 2
sub ke (i)  9x - y = 15
18 - y  =15 
y = 3

x = 2, y = 3 sub ke 5x - 3y + 2z = 3
5(2) - 3(3) + 2z= 3
10 - 9 + 2z = 3
1+ 2z = 3
2z = 2
z = 1

a= x , b = y, c = z
a b c = x y z = (2)(3)(1)
a b c = 6