We have a 27 inch RCA TV Entertainment Plus PIP. We have sound but no picture. The unit is about 10 years old.

The tv has lasted ten years which is better than average, I find fixing anything after that time is not cost effective and the likely hood of additional breakdowns is extremely high, because you are dealing with parts that are ten years old. But to address your problem, when you first turn on the tv can you hear high voltage been generated, if yes! you have a video problem, If no! you have a high voltage issue that will involve the high voltage transformer and other parts tied into the horizontal output circuits. A tv technician is recommended to address the situation and I advise an estimate.