augustshinearnold
augustshinearnold augustshinearnold
  • 17-11-2020
  • Mathematics
contestada

-2/3x + 3/7 = 1/2
In this problem, is X 13/21?

If X is 13/21 what is the answer to this problem?
-2/3 x 13/21 + 3/7

If X isnt 13/21, what is X?

Respuesta :

jimrgrant1 jimrgrant1
  • 17-11-2020

Answer:

x = - [tex]\frac{3}{28}[/tex]

Step-by-step explanation:

Given

- [tex]\frac{2}{3}[/tex] x + [tex]\frac{3}{7}[/tex] = [tex]\frac{1}{2}[/tex]

Multiply through by 42 ( the LCM of 3, 7 and 2 ) to clear the fractions

- 28x + 18 = 21 ( subtract 18 from both sides )

- 28x = 3 ( divide both sides by - 28 )

x = - [tex]\frac{3}{28}[/tex]

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