ContourPlot3D[{2x^2+y^2==z,4x+2y-3==z}, {x,-2,2},{y,-2,2},{z,0,5}, MeshFunctions->{#3&}]

ContourPlot3D[{2x^2+y^2==z,4x+2y-3==z}, {x,0,2},{y,0,2},{z,0,5}, MeshFunctions->{#3&}]

ContourPlot3D[{2x^2+y^2==z,4x+2y-3==z}, {x,0.5,1.5},{y,0.5,1.5},{z,0,5}, MeshFunctions->{#3&}]

ContourPlot3D[{2x^2+y^2==z,4x+2y-3==z}, {x,0.95,1.05},{y,0.95,1.05},{z,0,5}, MeshFunctions->{#3&}]