At Turner Field in Atlanta, Dan Uggla, Chipper Jones, Eric Hinske and David Ross each hit run-scoring singles to give the Braves (7-8) the win in the nightcap.
Jair Jurrjens (1-0) pitched seven innings, holding the Mets (4-11) to two hits and no runs. Mike Pelfrey (0-2) allowed 11 hits and four runs in five innings for New York.
In the earlier game, Alex Gonzalez hit two solo home runs, and Jones and Freddie Freeman each hit one, to give the Braves a 4-2 win.
The Mets’ runs came on Jose Reyes’s fielder’s choice grounder to second in the fifth inning and a Willie Harris double in the sixth.
Derek Lowe (2-2) gave up five hits and two runs in six innings for the win. D.J. Carrasco (0-1) surrendered four hits and three runs in 3 2/3 innings for the Mets.
At Yankee Stadium, Teixeira hit a two-run homer in the first, scoring Nick Swisher, then sent home Derek Jeter in the third on a sacrifice fly to give the Yankees (8-5) a 3-0 lead. Teixeira also scored on Cano’s eighth-inning homer.
Elvis Andrus and Michael Young had run-scoring singles in the eighth for the Rangers.
Yankees third baseman Alex Rodriguez left the game in the top of the seventh inning with lower back stiffness.
Freddy Garcia (1-0) went six innings, giving up two hits and no runs for the win. Derek Holland (2-1) pitches 7 2/3 innings, allowing eight hits and five runs for Texas.
The Rangers fell to 10-4, tied with the Cleveland Indians and Kansas City Royals for the best record in the American League. The Colorado Rockies have MLB’s best record at 11-3.
In other American League games, it was Cleveland 8, Baltimore 3; Boston 4, Toronto 1; Kansas City 7, Seattle 0; Tampa Bay 4, Minnesota 3; the Los Angeles Angels 7, the Chicago White Sox 2; and Oakland 6, Detroit 2.
In the National League, it was Cincinnati 11, Pittsburgh 2; Houston 5, San Diego 3; San Francisco 5, Arizona 3; the Chicago Cubs 8, Colorado 3; and St. Louis 9, the Los Angeles Dodgers 2.
Rain pelted Philadelphia and Washington, forcing the Marlins-Phillies game to be rescheduled to June 15 as a double- header, and the Brewers-National contest to be played in a double-header today.
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