Ben Affleck smiles sweetly as he leaves Jennifer Lopez's Los Angeles home

 Ben Affleck smiles sweetly as he leaves Jennifer Lopez's Los Angeles home

Ben Affleck showed a big smile as he left Jennifer Lopez's house on Wednesday morning.

The 48-year-old actor was seen in his car looking happy as he was photographed after spending time with the Hustlers star.

Rumors about the 51-year-old Lopez and Affleck's relationship first flared in late April when they were spotted outside their Los Angeles home following their split from Alex Rodriguez. Later, the two enjoyed a getaway to Montana, where they were photographed driving together on May 8.

Since then, Lopez and Affleck have been seeing each other in Los Angeles, where Affleck lives, and Miami, where Lopez has his base of operations.

Jennifer Lopez is all smiles during Miami reunion with Ben Affleck

A source close to the singer recently told PEOPLE that she spent the past weekend in Los Angeles for business purposes, but that she also wanted to spend time with Affleck. "They will continue to travel back and forth between Los Angeles and Miami," the source said. "They are very happy together."

Additionally, Lopez and the two-time Academy Award winner are reportedly "slowly beginning to talk about the future."

"This is not a casual relationship," added the source. "They are taking it seriously and want it to last."

The pair are poised to make their cross country situation work, and a source told PEOPLE last week that Lopez and Affleck "are having fun and want to spend as much time together as possible."

"They don't want to hide anymore," explained the source. “They are both excited about their relationship. They want to make sure they do everything they can to make this work. "

Jennifer is incredibly happy. She feels like she can be herself with Ben, ”added the source about the couple, who dated in 2002 and got engaged that same year before separating in January 2004.