Texas Tech University and Brigham Young University are both research universities, but are they both public?
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.
University of Texas at El Paso The University of Texas at El Paso (UTEP) is a public research university in El Paso, Texas, United States. The school was founded in 1914 as the State School of Mines and Metallurgy, and a practice mineshaft survives on the mountainous desert campus. Following a reorganization of the University of Texas in 1920, the school was renamed the College of Mines and Metallurgy of the University of Texas. It became Texas Western College of the University of Texas in 1949, and The University of Texas at El Paso in 1967. UTEP is part of the University of Texas System.