1. The problem asks to identify which of the given systems is a 2x2 system of equations. 2. A 2x2 system means there are 2 equations with 2 variables each. 3. Let's analyze each system: - System 1: $$-6x + 3y + 3z = 7$$ $$-x - 2y - 2z = 8$$ $$-5x + 7y - 2z = 5$$ This system has 3 equations and 3 variables ($x,y,z$), so it is a 3x3 system. - System 2: $$3x + 7y - 7z = 8$$ $$-4x + 5y - 10z = -1$$ This system has 2 equations but 3 variables ($x,y,z$), so it is a 2x3 system. - System 3: $$-10 + 6x = -2x + 2$$ Rearranged: $$6x + 2x = 2 + 10$$ $$8x = 12$$ This is a single equation with one variable $x$. - System 4: $$2x + 3y = 7$$ $$-x + 11y = -1$$ This system has 2 equations and 2 variables ($x,y$), so it is a 2x2 system. 4. Therefore, the 2x2 system is: $$\begin{cases} 2x + 3y = 7 \\ -x + 11y = -1 \end{cases}$$ 5. This system can be solved using substitution or elimination methods if needed. Final answer: The 2x2 system is the last one with equations $2x + 3y = 7$ and $-x + 11y = -1$.