Solving a system of three equations with infinite many solutions

The video tutorial explains how to handle systems of equations with three variables by reducing them to two variables using elimination. The instructor demonstrates the process of choosing a variable to eliminate, preferably one with a coefficient of 1, and solving the equations. The tutorial highlights the concept of infinite solutions, showing that when equations reduce to 0=0, there are infinite solutions. The instructor further analyzes the equations to confirm the presence of infinite solutions, emphasizing the importance of understanding the possibilities within systems of equations.

How can you determine which variable to eliminate first in a system of equations?

What steps would you take to eliminate the variable Y from the given equations?

Can you explain the process of multiplying an equation to eliminate a variable?