What are the three types of solutions to a system of equations

The video tutorial explains systems of linear equations, focusing on three possible outcomes: no solution with parallel lines, a unique solution with intersecting lines, and infinite solutions with coinciding lines. It also discusses how to describe these solutions in terms of consistency.

What are the three possible outcomes when graphing two linear equations?

• Parallel lines, intersecting lines, and perpendicular lines

• Intersecting lines, perpendicular lines, and coincident lines

• Parallel lines, perpendicular lines, and coincident lines

• Parallel lines, intersecting lines, and coincident lines

What is the solution to a system of equations with parallel lines?

• One solution

• No solution

• Infinite solutions

• Two solutions

Where do intersecting lines meet in a system of equations?

• At exactly one point

• At two points

• At no point

• At multiple points

What is the nature of the solution for coincident lines?

• No solution

• One solution

• Infinite solutions

• Two solutions

How can systems of equations be described in terms of consistency?

• Parallel or intersecting

• Coincident or parallel

• Consistent or inconsistent

• Intersecting or coincident