Persamaan linear tiga variabel yaitu 3x+4y-5z=12 2x+5y-z=17 6x+2y-3z=17 Carilah nilai x,y,danz

System of Three Linear Equations.

Eliminate x on equation 1 and 2!
3x + 4y - 5z = 12 | x2 | 6x + 8y - 10z = 24
2x + 5y - z = 17   | x3 | 6x + 15y - 3z = 51
                                    ------------------------- -
                                    -7y - 7z = -27

Eliminate x on equation 1 and 3!
3x + 4y - 5z = 12 | x2 | 6x + 8y - 10z = 24
6x + 2y - 3z = 17 | x1 | 6x + 2y - 3z = 17
                                    ------------------------- -
                                    6y - 7z = 7

Eliminate z on equation 4 and 5 and calculate until solved!
-7y - 7z = -27
6y - 7z = 7
----------------- -
-13y = -34 → y = 34/13

Plug in y into equation 51
6(34/13) - 7z = 7 → z = 113/91
Plug in z and y into equation 1!
3x + 4(34/13) - 5(113/91) = 12 → x = 235/91

The value of x, y, z is 235/91, 34/13, 113/91.