France and Serbia sealed their progression prior to Sunday's matches so there was purely pride to play for in the final two singles matches.
The next tie won't be until September, either away against Belgium or home to Italy, with that potentially also being played in Brisbane given the success against the United States of America and the quality of the Pat Rafter court.
The U.S. leads the head-to-head series 26-20 and won the most recent meeting between the teams previous year on grass at Kooyong in Melbourne in the first round.
Kyrgios said it was a relief to have won despite the added expectation generated by his performances since his shocking second-round loss at the Australian Open, which has proved a turning point in his career.
The two countries have 60 Davis Cup titles between them but Australia have not won since they bagged their 28th crown in 2003, while the U.S. snared their 32nd a decade ago.
"My game is feeling good", Sock said. Thompson gets his chance to represent his country for a second time in the absence of Bernard Tomic, who declined to play the tie.
Johnson was shaky in his service game at 2-3, which the Australians won with a forehand return victor by Groth, and Sock was broken to tie the match up at two sets each when Peers produced consecutive winners.
Sam Groth, top, of Australia serves against Jack Sock and Steve Johnson of the United States during the doubles match with his partner John Peers, bottom, at the Davis Cup World Group Quarterfinal in Brisbane, Australia, Sat.
Celtics drop back-to-back games, Butler has triple-double
The Cavaliers lost their second game in a row, both to Atlanta, and this time the team had a 26-point fourth quarter lead. The Grizzlies played their reserves in the fourth with the seventh seed in the Western Conference already secured.
The Australian went down a mini-break with Isner serving at 5-4 in the final tiebreaker, but he connected on two clutch return of serves to give himself a match point and then clinched the victory with his 20th ace.
The right-hander had won one match only since the February tie and also suffered an ankle injury, but has rallied when representing his country, pointing to a big tattoo on his right biceps of the Australian Olympic logo, inked after his Rio Games campaign past year.
The fiery Kyrgios, often treated as the villain at overseas tournaments since he was suspended for not trying his best in a match last October, said he appreciated the support from the home crowd of 5780.
Previous year was hard for me so I am enjoying tonight.
The last time the two met was in the final of the Atlanta Open in 2016 where Kyrgios was the 7-6 7-6 victor on that occasion, and this was equally tight.
"I've beaten every other singles player", Kyrgios said in reference to Serbia's Novak Djokovic, Belgian David Goffin and France's Lucas Poiulle. "Right now, a lot of people could argue he's playing maybe the best tennis he's ever played".
Nick Kyrgios anchored Australia's win with victories in both his singles matches.
Hewitt, a traditionalist, favors the current set-up, while Courier in the past has indicated that changes might be good for the competition.
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