To help you graph this, get y alone in both equations. If you don't have a graphing calculator, use the Desmos graphing calculator online.
So, you will end up graphing this:
y=8-x
y=(34/3)-(5/3)x
They will meet at (5,3)
So, you will end up graphing this:
y=8-x
y=(34/3)-(5/3)x
They will meet at (5,3)