Question

Tentukan penyelesaian SPLTV berikut.!

2x+y-3z=3
x+2y+z=7
3x-y=4

Answer 1

2x + y - 3z  = 3
x + 2y + z = 7 .......kalikan 3
.
2x + y - 3z= 3
3x + 6y + 3z = 21
-------------------------(+)
5x + 7y  = 24 ..(1)
.
5x + 7y = 24
3x - y = 4 ............kalikan 7
.
5x + 7y = 24
21x - 7y = 28
------------------(+)
26x = 52
x = 2 
.
3x - y = 4
3(2) - y = 4
6 - y = 4
y = 6-4
y = 2

2x + y - 3z = 3
2(2) + 1(2) - 3z = 3
4+2 - 3z = 3
6 - 3z = 3
-3z = 3 - 6
-3z = - 3
z = 1

(x,y,z) = (2,2, 1)