To create a system of equations that has no solution, Steve needs to create equations that represent parallel lines. Parallel lines have the same slope but different y-intercepts, meaning they will never intersect. Based on this understanding, the options that apply are:
A. Create a pair of equations with the same slope and different y-intercepts. (This will create a system with no solutions, as the lines are parallel.)
D. Create a pair of lines that will always stay the same distance apart. (This is equivalent to creating parallel lines, which also results in no solutions.)
The other options do not lead to a system with no solutions:
B. Create a pair of lines in which one line lies directly on top of the other. (This leads to infinitely many solutions, not no solutions.)
C. Create a pair of equivalent equations. (This also leads to infinitely many solutions, as the equations represent the same line.)
E. Create a pair of lines that intersect at only one point. (This results in a single solution, not no solutions.)
So, the correct answers are A and D.