2 equations 3 unknowns. Implicit 2D Plot?

I have a hopefully simple question which I could not find any solution to yet: With two equations in three unkowns x,y,z I would like to plot their solution in x,y space. I cannot get rid of z explicitly and simply plot the resulting x,y equation as the functions are complicated. How can I tell Mathematica to do this graph for me?

• Please provide your code! You can solve your problem using ContourPlot[Eliminate[eqn,z],{x,...},{y,...}] Nov 29 '21 at 9:23
• Thank you for the very fast reply. I would hate to copy paste the original equations as they are messy. Just assume y=lnz and x=(1/2)z (where I could simply eliminate of course). How does the command look like? Nov 29 '21 at 9:34
• ContourPlot[Eliminate[{y == lnz, x == 1/2 z}, z] {x, 0, 5}, {y, 0, 5}] did not work for me as the programme "expects more arguments". Nov 29 '21 at 9:59
• Nov 29 '21 at 11:08

ContourPlot[Evaluate[ Eliminate[{y == Log[z], x == 1/2 z}, z]], {x, 0, 5}, {y, 0,5}]