5X-3Y+4Z=13 (1)
2X+7Y-3Z=19 (2)
3X+2Y-Z=18 (3)
(1)+(3)*4
17X+5Y=85 (4)
(3)*3-(2)
7X-Y=35 (5)
(4)+(5)*5
52X=260
X=5
Y=7X-35=0
Z=3X+2Y-18=-3