Provide an appropriate response.
-Suppose that you attempt to solve a system of equations and find that $\mathrm { D } = 0$ What can you conclude about the solutions of this system?
A) The system has exactly one solution.
B) The system has no solution.
C) The system has an infinite number of solutions.
D) The system has either no solution or an infinite number of solutions.

Question

Quizplus · Accepted Answer

When $\mathrm{D} = 0$ in a system of equations, it indicates that the system is either dependent (having an infinite number of solutions) or inconsistent (having no solution). This is because $\mathrm{D}$ represents the determinant of the coefficient matrix in a system of linear equations, and when it is zero, it means the equations are either parallel (no solution) or the same line (infinite solutions).

Provide an Appropriate Response D=0\mathrm { D } = 0D=0 What Can You Conclude About the Solutions of This System

Provide an Appropriate Response $\mathrm { D } = 0$ What Can You Conclude About the Solutions of This System