Question: Texas Tech University and Brigham Young University are both research universities, but are they both public?

Context paragraphs:
List of Texas Tech University alumni: Texas Tech University, often referred to as Texas Tech or TTU, is a public, coeducational, research university located in Lubbock, Texas.  Established on February 10, 1923, and originally known as Texas Technological College, it is the leading institution of the Texas Tech University System and has the sixth largest student body in the state of Texas.  It is the only school in Texas to house an undergraduate institution, law school, and medical school at the same location.  Initial enrollment in 1925 was 910 students; as of 2009, the university has 30,049 students from more than 110 countries, all 50 U.S. states and the District of Columbia.  Since the university's first graduating class in 1927 of 26 students, Texas Tech has awarded more than 221,000 degrees, including 45,000 graduate and professional degrees to its alumni.  The Texas Tech Alumni Association, with over 27,000 members, operates more than 120 chapters in cities throughout the United States and the world.

Louisiana Tech University: Louisiana Tech University, colloquially referred to as Louisiana Tech or La.  Tech, is a coeducational public research university in Ruston, Louisiana, United States.  Louisiana Tech is designated as a Tier One national university by the 2018 U.S. News & World Report college rankings and is the only Tier One national university in the nine-member University of Louisiana System.  It is a space grant college, member of the Southeastern Universities Research Association, member of the Association of Public and Land-Grant Universities, is a "R3: Doctoral University with moderate research activity," according to the Carnegie Foundation Doctoral University. Louisiana Tech conducts research with ongoing projects funded by agencies such as National Aeronautics and Space Administration (NASA), the National Institutes of Health (NIH), the National Science Foundation (NSF), the Department of Defense (DoD), and the Federal Aviation Administration (FAA).  Louisiana Tech is one of less than 50 comprehensive research universities in the nation and the only university in Louisiana to be designated as a National Center of Academic Excellence in Information Assurance Education and Research and a National Center of Academic Excellence in Cyber Defense Education and Research by the National Security Agency (NSA) and the United States Department of Homeland Security (DHS).  Also, the FAA named Louisiana Tech to the National Center of Excellence for Unmanned Aircraft Systems.  The university is known for its engineering and science programs.

Brigham Young University: Brigham Young University (BYU), sometimes referred to colloquially as The Y, is a private research university located in Provo, Utah, United States.  It is owned and operated by The Church of Jesus Christ of Latter-day Saints (LDS Church), and excluding online students, is the largest religious university and the third largest private university in the United States, with 33,363 on-campus students.  Approximately 99 percent of the students are members of the LDS Church, and one-third of its U.S. students are from Utah.

Brigham Young College: Brigham Young College was a college and high school in Logan, Utah.  It was founded by Brigham Young on 6 August 1877, 23 days before his death.  He deeded several acres of land to a board of trustees for the development of a college.  This was just two years after he founded Brigham Young Academy in Provo in 1875, which became Brigham Young University in 1903.

George H. Brimhall: George Henry Brimhall (December 9, 1852 – July 29, 1932) was President of Brigham Young University from 1904 to 1921.  After graduating from Brigham Young Academy, Brimhall served as principal of Spanish Fork schools and then as district superintendent of Utah County schools, finally returning to Brigham Young Academy.  In April 1904, Brimhall became president of the school, which had become Brigham Young University (BYU) in October 1903.  As President of BYU, Brimhall helped institute the collegiate program, departments for specific subjects, and an emphasis on religious learning.

List of presidents of Brigham Young University: The following people have served as presidents of Brigham Young University and principals of Brigham Young Academy, which split to become Brigham Young University and Brigham Young High School in 1903.  This list does not include presidents of Brigham Young University-Hawaii or Brigham Young University–Idaho.

Texas Tech University System: The Texas Tech University System is a state university system in Texas consisting of four separate universities in the state of Texas, of which two are academic institutions: Angelo State University and Texas Tech University, and two are health institutions: Texas Tech University Health Sciences Center, and Texas Tech University Health Sciences Center at El Paso.  The System is headquartered in the Administration Building on the Texas Tech University campus in Lubbock, Texas.

Texas Tech University: Texas Tech University, often referred to as Texas Tech, Tech, or TTU, is a public research university in Lubbock, Texas.  Established on  10, 1923 (1923--) , and originally known as Texas Technological College, it is the flagship institution of the four-institution Texas Tech University System.  The university's student enrollment is the sixth-largest in Texas as of the Fall 2014 semester.  The university shares its campus with Texas Tech University Health Sciences Center, making it the only campus in Texas to house an undergraduate university, law school, and medical school.

Church Educational System Honor Code: The Church Educational System (CES) Honor Code is a set of standards by which students and faculty attending a school owned and operated by The Church of Jesus Christ of Latter-day Saints (LDS Church) are required to live.  The most widely known university that is part of the Church Educational System (CES) that has adopted the honor code is Brigham Young University (BYU), located in Provo, Utah.  The standards are largely derived from codes of conduct of the LDS Church, and were not put into written form until the 1940s.  Since then, they have undergone several changes.  The CES Honor Code also applies for students attending BYU's sister schools Brigham Young University–Idaho, Brigham Young University–Hawaii, and LDS Business College.

Brigham Young High School: Brigham Young High School was a private high school in Provo, Utah, United States, first known as Brigham Young Academy.  The school later became attached to Brigham Young University (BYU) with its official name being Brigham Young University High School, and commonly called B Y High.  It operated under the Church Educational System of The Church of Jesus Christ of Latter-day Saints (LDS Church).

Supporting paragraphs: Texas Tech University Brigham Young University
Answer: no