Question: Are the University of Tennessee system and Southern Methodist University both public institutions?

Context paragraphs:
Southern Methodist University Mustang Band: The Southern Methodist University Mustang Band, known as the "Best Dressed Band in the Land" because of its 32 unique uniforms, is the marching band of Southern Methodist University.  Long known as “the Hub of SMU spirit,” the 80 member band represents the University at football and basketball games, produces the Pigskin Revue during Homecoming, and performs at special University- and community-related events.  Founded in 1917, the Mustang Band is currently under the direction of Don Hopkins and assistant director and music arranger Tommy Tucker.

1990 SMU Mustangs football team: The 1990 Southern Methodist University Mustangs football team represented the Southern Methodist University in the 1990 college football season.  SMU opened with a 44-7 win over Vanderbilt, but struggled the remainder of the season still recovering from the Death penalty.  The Mustangs offense scored 197 points while the defense allowed 426 points.  Forrest Gregg, who was retiring after the season, was carried off the field following a loss to Arkansas in the final game.

University System of Georgia: The University System of Georgia (USG) is the State of Georgia Government Agency that includes 28 public institutions of higher learning in the U.S. state of Georgia.  The System is governed by the Georgia Board of Regents.  It sets goals and dictates general policy to educational institutions as well as administering Public Library Service of the state which includes 58 public library systems.  The USG also dispenses public funds (allocated by the state's legislature) to the institutions but not the lottery-funded HOPE Scholarship.  The USG is the fifth largest university system in the United States by total student enrollment, with 318,027 students in 28 public institutions.  The four larger systems are the University System of Ohio, City University of New York, California State University, and the State University of New York.  USG institutions are divided into four categories depending on their mission statements.  The categories include research universities, state universities, state colleges and regional universities.

University of Tennessee: The University of Tennessee (also referred to as The University of Tennessee, Knoxville, UT Knoxville, UTK, or UT) is a public sun- and land-grant university in Knoxville, Tennessee, United States.  Founded in 1794, two years before Tennessee became the 16th state, it is the flagship campus of the University of Tennessee system, with nine undergraduate colleges and eleven graduate colleges.  It hosts almost 28,000 students from all 50 states and more than 100 foreign countries.  In its 2017 universities ranking, "U.S. News & World Report" ranked UT 103rd among all national universities and 46th among public institutions of higher learning.  Seven alumni have been selected as Rhodes Scholars.  James M. Buchanan, M.S. '41, received the 1986 Nobel Prize in Economics.  UT's ties to nearby Oak Ridge National Laboratory, established under UT President Andrew Holt and continued under the UT–Battelle partnership, allow for considerable research opportunities for faculty and students.

Maguire Center for Ethics: The Cary M. Maguire Center for Ethics and Public Responsibility serves the campus of Southern Methodist University and the greater Dallas area.  The university-wide center supports student and faculty ethics-related education and activities, as well as outreach to community, in both private and public institutions.

Southern Methodist University Press: Southern Methodist University Press (or SMU Press) is a university press that is part of Southern Methodist University.  It was established in 1937 and is the oldest academic publisher in Texas.  The press releases eight to ten titles each year and is known for its literary fiction.  It was scheduled to suspend operations on June 1, 2010.  The provost of SMU announced in 2011 plans to reorganize the press with a smaller budget and different goals.

J. Lindsay Embrey: James Lindsay Embrey, Jr., also known as J. Lindsay Embrey (September 23, 1925 - November 11, 2005) was an American real estate developer and philanthropist.  He was a primary benefactor of Southern Methodist University in Dallas, Texas.  He served as a member of the Board of Trustees of Southern Methodist University from 1970 to 1987.  In 1978, he established an endowment for students majoring in engineering at the University.  s of 2013 , this endowment has provided scholarships for over 2,000 engineering students.  In 1991, he was named emeritus of the Board of Trustees.

University of Tennessee system: The University of Tennessee system (UT system) is one of two public university systems, the other being the Tennessee Board of Regents (TBR), in the state of Tennessee.  It consists of three primary campuses in Knoxville, Chattanooga, and Martin; a health sciences campus in Memphis; a research institute in Tullahoma; and various extensions throughout the state.

SMU Mustangs football under Bobby Collins: Bobby Collins was the coach of the Southern Methodist University's football team from 1982 to 1986.  He compiled a 43–14–1 record, and was succeeded by Forrest Gregg.  Though Collins himself was not sanctioned by the NCAA, he lost his job as a result of the Southern Methodist University football scandal that resulted in the Death penalty.

Southern Methodist University: Southern Methodist University (SMU) is a private research university in Dallas, University Park, and Highland Park, Texas.  Founded in 1911 by the Methodist Episcopal Church, South, SMU operates satellite campuses in Plano, Texas, and Taos, New Mexico.  SMU is owned by the South Central Jurisdiction of the United Methodist Church.  Of the university's 11,643 students, 6,411 are undergraduates.

Supporting paragraphs: University of Tennessee system Southern Methodist University
Answer: no