santiago3336 santiago3336
  • 26-02-2021
  • Mathematics
contestada

Which value of x satisfies the equation \frac{1}{3}\left(x+\frac{5}{3}\right)=\frac{2}{9} 3 1 ​ (x+ 3 5 ​ )= 9 2 ​ ?

Respuesta :

whitneytr12
whitneytr12 whitneytr12
  • 01-03-2021

Answer:

x = -1 satisfies the equation.

Step-by-step explanation:

The equation is:

[tex]\frac{1}{3}\left(x+\frac{5}{3}\right)=\frac{2}{9}[/tex]     (1)

So, we just need to solve it for x to know which number satisfies the equation (1).

[tex]x+\frac{5}{3}=\frac{3*2}{9}[/tex]

[tex]x=\frac{6}{9}-\frac{5}{3}[/tex]

[tex]x=\frac{6-15}{9}[/tex]

[tex]x=\frac{-9}{9}[/tex]

[tex]x=-1[/tex]

Therefore, x=-1 satisfies the equation.

I hope it helps you!

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