Question

X+z=6 5y+9z=1 what is a possible way to eliminate the y term

Answer 1

Assuming that these two equations aren't being multiplied:

solve the second equation for y

5y+9z=1   5y=1-9z    y=(1-9z)/5

substitute y for 0

0=(1-9z)/5

5=1-9z
We could leave it like this, but I'm not going to because it feels so unfinished.
5-1=-9z
4=-9z
-4/9=z

x+z=6

x-(4/9)=6
x=6+(4/9)
x=58/9