Answer:
(d) y = -5/2x -3
Step-by-step explanation:
All of the offered choices are in slope-intercept form, so it makes sense to put the given equation in that form. Solving for y, we get ...
5x +2y = -4
2y = -5x -4 . . . . . subtract 5x
y = -5/2x -2 . . . . . divide by 2
The system of equations will have no solution if the equations are "inconsistent." That will be the case when the slope is the same, but the y-intercepts are different. That means you're looking for an answer of the form ...
y = -5/2x +c . . . . . . where c is not -2
This matches the last choice:
y = -5/2x -3
