cheyenne26397 cheyenne26397
  • 08-09-2022
  • Mathematics
contestada

Determine the solutions of the equation:
|1/4x+7|-3=24
x= -136 and x = 136
x= -136 and x = 80
x=-112 and x = 80
x= -80 and x = 80

Respuesta :

celumusakhumbulani
celumusakhumbulani celumusakhumbulani
  • 08-09-2022

Answer:

x = -136 and x = 80

Step-by-step explanation:

|(1/4)x +7| - 3 = 24

|(1/4)x + 7| = 27 (transpose 3 and it becomes positive)

now:

(1/4)x + 7 = 27 (first solution)

(1/4)x = 20

x/4 = 20

x = 20×4

x = 80

(1/4)x + 7 = -27 (second solution)

(1/4)x = -34

x/4 = -34

x = -34×4

x = -136

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