Final answer:
The question involves solving a system of linear equations to find the values of x, y, and z that satisfy all three. High school algebraic methods such as substitution or elimination are typically used.
Step-by-step explanation:
The student's question involves a system of linear equations, which is a common topic in high school algebra. The goal is to find the values of x, y, and z that satisfy all three equations simultaneously. To solve the system, we can use methods such as substitution, elimination, or matrix operations. Here, since the second equation (3x - 2y = 0) can be easily solved for x in terms of y, we can substitute x into the third equation (x + 3z = -8), and then use the value of x from the second equation to solve for z in the third equation. With the values of x and z known, we can substitute them back into the first equation (4y + 5z = 4) to solve for y.