Without solving the following linear system, determine whether there are no solutions, one solution, or infinite solutions
2x + 3y = 1
4x + 6y = 4
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.