laurenjameslanuzga laurenjameslanuzga
  • 20-12-2021
  • Mathematics
contestada

. Solve the rational equation x+6 / 3 − x+8 / 5 = 0.

Respuesta :

Leora03
Leora03 Leora03
  • 20-12-2021

Answer:

x= -3

Step-by-step explanation:

[tex] \frac{x + 6}{3} - \frac{x + 8}{5} = 0[/tex]

Multiply both sides by 15 (LCM of 3 and 5):

[tex] \frac{15(x + 6)}{3} - \frac{15(x + 8)}{5} = 0[/tex]

5(x +6) -3(x +8)= 0

Expand:

5x +30 -3x -24= 0

2x +6= 0

-6 on both sides:

2x= -6

x= -6 ÷2

x= -3

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