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Classify the system of equations and identify the number of solutions.
4x + 2y = −8
6x + 3y = 9
inconsistent; none
consistent, dependent; one
inconsistent; one
consistent, dependent; infinite
HELP ASAP PLS

Respuesta :

617887

Answer:

inconsistent, none

Step-by-step explanation:

Write both equations in slope-intercept form to see if the lines are parallel.

These two lines have slope m = −2 and different y-intercepts, therefore they are parallel.

Since the lines are parallel, the system is inconsistent and there are no solutions.

4x+2y=-8

  • 2x+y=-4
  • y=-2x-4--(1)

6x+3y=9

  • y=-2x+3

As slopes are equal lines are parallel,no solutions

Option A