How do I plot 2 3D objects and get the function of their intersection?

Questions
,
1

I’ve been trying to plot the following two functions:
2y²+z²=1
and
x=y

But for some reason, no matter what I try, Wolfram Alpha refuses to plot these in 3D, even seperately.
What I basically want is the first function for every value of x (so a sort of cillinder) and the plane x=y for every value of z.

How do I go about this?

Thanks in advance!

2

Hello Josh,
Please post some of the code that you have been executing or eact phrasings of what you enter into Wolfram Alpha. If you have access to Wolfram Mathematica, I highly suggest that you utilize that in the future.

You can solve your problem in Mathematica, with the following two code sequences.

ContourPlot3D[{2 y^2 + z^2 == 1}, {x, -10, 10}, {y, -10, 10}, {z, -10,

   10}]

ContourPlot3D[{x == y}, {x, -10, 10}, {y, -10, 10}, {z, -10, 10}]