Question

Tyra analyzed the system below. Without

algebraically solving or graphing, Tyra was
able to quickly determine the solution to the system. State the solution, and explain how Tyra arrived at her conclusion.
y = 3x – 2
y = 3x"
(a) Both equations have the same slope (3) and no constant term, which means they represent two parallel lines.
(b) Since the lines are parallel and have the same slope, they will never intersect.
(c) Therefore, there are infinitely many solutions, and the system is consistent and dependent.

Answer 1

The solution to the system is that there are infinitely many solutions, and the system is consistent and dependent.

Step-by-step explanation:

The solution to the given system of equations is that there are infinitely many solutions, and the system is consistent and dependent.

Tyra arrived at this conclusion by observing that both equations have the same slope of 3 and no constant term. This means they represent two parallel lines that will never intersect. Therefore, there are infinitely many solutions.