3Y-2Z = 1→ 15y- 10z = 5②
7X+5Z = 19/4→ 14x+ 10z = 19/2③
②+③:
14x+ 15y=29/2 ④
14×①-4×④:
66y = 1 10→y = 1 10/66 = 5/3
Substituting y=5/3 into 3Y-2Z= 1 gives:
3×5/3-2z = 1→2z = 3×5/3- 1 = 4→z = 2
Substituting z=2 into 7X+5Z= 19/4 gives:
7x+5×2 = 19/4→7x = 19/4-5×2 =-2 1/4→x = 7×(-2 1/4)=-3/4
The solution of the equation is:
x=-3/4
y=5/3
z=2