Question

In this system of linear equations with no solution

y = 2x+1 and 2y = 4x +2

explain the specific characteristics that is included in each equation to ensure that the system would not have a solution.

Answer 1

Two line with the same slope are parallel, if two parallel lines have a different y-intercept they will never cross each other.

(Any two lines with different slopes will always intersect at some point)