how do I find out what x and y equals?

We find x & y as follows:
*By theorem supplementary angles add to 180°, so the following is true:
[tex]3y+11+10y=180[/tex]&
[tex]7x+4+4x-22=180[/tex]Now, we operate like terms and solve for x & y, that is:
[tex]\Rightarrow3y+11=180\Rightarrow y=\frac{169}{3}[/tex]&
[tex]11x=198\Rightarrow x=18[/tex]So, the values of x & y are 18 & 169/3 respectively.