Question

1. darin is writing a system of equations. he has two variables. how many equations does he need to write? 0 3 2 1

Explanation:

Step1: Recall System of Equations

A system of linear equations with \( n \) variables generally needs \( n \) equations to have a unique solution (in the case of linear equations). For two variables (e.g., \( x \) and \( y \)), we typically need 2 equations to form a system that can be solved (to find a unique solution, or analyze consistency, etc.).

Step2: Evaluate Options

• 0 equations: Can't form a system with variables.
• 3 equations: For two variables, 3 equations would be over - determined (not necessary for a basic system with two variables).
• 2 equations: Matches the requirement for a system with two variables.
• 1 equation: With two variables, one equation represents a line (in 2D) and has infinitely many solutions; it's not a system that can solve for unique values of both variables.

Answer:

1. 2 (the option with "2")