3x+5z=51
3x+5z-5z=51-5z
3x=51-5z
3x/3=51-5z /3
x=17-1.67z
8x + z = 99
8(17-1.67z) + z = 99
8(17) (8)(-1.67z) + z = 99
136-13.36z + z = 99
136-12.36z= 99
136-12.36z-136= 99-136
-12.36z=-37
-12.36z/-12.36=-37/-12.36
z=3
x=17-1.67z
x=17-1.67(3)
x=17-5=2