Do what it says; solve one of them for y. I'll do the first one:
[tex]y=6-2x[/tex]
Now that we know what y is, we can substitute that into the other equation:
[tex]2x+5(6-2x)=22[/tex]
Now distribute:
[tex]2x+30-10x=22[/tex]
And simplify:
[tex]-8x+30=22[/tex]
[tex]x=1[/tex]
Now that we know what x is, just put that value into either equation to find y, I'll do the first one since we already solved for y:
[tex]y=6-2(1)[/tex]
And simplify:
[tex]y=4[/tex]
Now just put the values into a coordinate pair:
[tex](1,4)[/tex]