You can solve the system by isolating the same variable in both equations, then setting those equations equal to each other. For instance, say we isolate y:
Do the same for the other equation, then set both equations equal to each other. You can then solve for x. Once you have a value for x, you can plug it into either of the original equations and find y!
Do the same for the other equation, then set both equations equal to each other. You can then solve for x. Once you have a value for x, you can plug it into either of the original equations and find y!