Practice!

Sample Problem

Without solving the following linear system, determine whether there are no solutions, one solution, or infinite solutions

2x + 3y = 1

4x + 6y = 4

Solution

We can first rewrite these equations in slope-intercept form

2x + 3y = 1 → y = x +

4x + 6y = 4 → y = x +

Because these two lines have the same slope but different y-intercepts, they will never intersect and there are no solutions to this linear system.