Chapter 10 - Section 10.2 - Systems of Linear Equations in Several Variables - 10.2 Exercises - Page 697: 5

Not Linear

Given the following: $xy - 3y + z = 5$ $x - y^2 + 5z = 0$ $2x + yz = 3$ The question asks whether the system of equations is or is not linear The second equation of the system is not linear because it has a second degree variable ($y^2$). Furthermore, there are terms that have multiple variables within them, a characteristic that is not present in linear equations. Thus, the answer is "Not Linear"