RozaliaJ646551 RozaliaJ646551
  • 25-10-2022
  • Mathematics
contestada

5/6x+1/12= 15 1/3+1/3xsolve for x

Respuesta :

AwaA103376 AwaA103376
  • 25-10-2022

Answer:

x = 61/2 = 30.5 = 60 1/2

Step-by-step explanation:

We have:

[tex]\frac{5}{6}x+\frac{1}{12}=15+\frac{1}{3}+\frac{1}{3}x[/tex]

We have to find the Least Common Multiple to solve this question:

[tex]\begin{gathered} \frac{2\cdot5x+1=12\cdot15+4+4x}{12} \\ \frac{10x+1=180+4+4x}{12} \\ 10x+1=180+4+4x \\ 10x-4x=180+4-1 \\ 6x=183 \\ x=\frac{183}{6} \\ x=\frac{61}{2}=30.5=30\frac{1}{2} \end{gathered}[/tex]

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