Final answer:
The solution to the system is infinite, as both equations represent the same line. The analytical technique used by Tyra avoids the need for algebraic or graphical methods. This technique is accurate and efficient for recognizing identical equations.
Step-by-step explanation:
From the given system:
y = 3x – 2
y = 3x
Tyra can quickly determine the solution without algebraically solving or graphing. She realizes that both equations represent the same line with a slope of 3 and a y-intercept of 0. Therefore, the solution to the system is infinite as every point on the line satisfies both equations.
The analytical technique of recognizing the identical equations allows Tyra to conclude that the system has infinite solutions without the need for further calculations. This technique is potentially more accurate than the graphical technique because it avoids potential errors in drawing and interpreting graphs.