KANSAS CITY, Mo. -- The Royals had scored just eight runs during a four-game losing streak, and were preparing to face former Cy Young winner Zack Greinke and the power-packed Los Angeles Dodgers. Perfect time to end that slump, eh? Jeremy Guthrie pitched into the eighth inning, Jarrod Dyson drove in two runs off Greinke and the Royals held on to beat the Dodgers 5-3 on Monday night in their first meeting in nine years. "Dont ask me why we had success tonight," Royals manager Ned Yost said drily. Dyson, the Royals No. 9 hitter, went 3 for 3 and stole two bases. Salvador Perez hit a solo home run, and Lorenzo Cain and Alcides Escobar -- two of the players acquired by the Royals in the trade that sent Greinke to Milwaukee in December 2010 -- drove in a run apiece. It was an offensive outburst considering the Royals had lost three of their last four games by 2-1 scores, squandering solid pitching performances by their starting rotation. "There was never any panic," said Guthrie, who gave up two runs and seven hits in 7 2-3 innings to win his third straight start. "We lost a couple of close games. We recognize a couple things go our way we would have won a couple of them." Greg Holland served up a homer to Adrian Gonzalez in the ninth before earning his 22nd save. Hanley Ramirez drove in the other two runs for the Dodgers, who are visiting Kansas City for the first time since they were swept in a three-game set in 2005. In his third start against his former team, Greinke (9-4) was battered for a season-high five runs and 11 hits in 5 2-3 innings. He had allowed two runs over 15 1-3 innings in his previous two starts against the Royals, one with the Brewers and the other with the Los Angeles Angels. "I thought he was OK," Dodgers manager Don Mattingly said. "There were a few balls where you could see where he was trying to go one place and it didnt end up there. I know a couple of those were to Dyson. I think some of the balls were trying to get to a different part of the plate and didnt get there." The Royals pounded Greinke almost from the start, Perez belting the first pitch of the second inning over the wall in left field for a 1-0 lead. Then with two outs, Escobar singled and went to second on a wild pitch before heading home when Dyson dumped a single into left field. Dyson made it 3-0 in the fifth when he scored on Cains single to right. The Royals finally knocked Greinke from the game in the fifth, this time after Perez started the inning with a double. Greinke fought back to get two outs, but Escobar hit a triple into the right-field corner and Dyson tacked on another RBI single to make it 5-0. That hit ended Greinkes night. As he departed the mound, fans showered him with a chorus of boos, clearly recalling how the right-hander once demanded to be traded from their team. "I was pretty rude on the way out. They have every right to be mad at me," Greinke said. "Its been awhile. Its been four years, so its been awhile. Theyve moved on by now and so have I. At least team-wise. The fans might be different." Meanwhile, those same fans were waiting to give Guthrie a standing ovation. The right-hander faced the minimum number of hitters through four innings, needing just four pitches in the second and five in the fourth. Gonzalez and Matt Kemp finally hit consecutive singles to start the fifth, but Guthrie calmly wiggled out of that jam. It wasnt until Miguel Rojas and Justin Turner hit singles and Ramirez one-hopped a double over the outfield wall to make it 5-2 in the eighth that Guthrie finally left the game. Wade Davis finished the inning, and Holland cleaned up the ninth to preserve the win. "Its a funny game. You go against a guy like Zack Greinke whos had so much success this year," Yost said. "We strung some hits together along with some outstanding pitching weve had the last five or six starts, its a big win for us tonight." NOTES: LHP Clayton Kershaw was the NL player of the week after his no-hitter against Colorado. He starts for Los Angeles on Tuesday against Royals LHP Danny Duffy. ... Kemp extended his hitting streak to 11 games. ... Guthrie struck out five without a walk. ... The Dodgers had won seven straight interleague Evander Kane Jersey . Span, Danny Espinosa and Adam LaRoche had two hits apiece as Washington won the final two games of the series. The Nationals improved to 3-7 against Atlanta. They increased their division lead over the Braves to 1 1/2 games. Custom San Jose Sharks Jerseys . The Jays responded to the three-spot Detroit placed on Casey Janssen the evening before with an attack on the Tigers Achilles Heel, its bullpen, tying the game in the ninth and winning the game in the 10th. 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