Question

Please help thank you

Answer 1

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