jazzmingarciaa jazzmingarciaa
  • 08-04-2020
  • Mathematics
contestada

how do you solve this rational equation 3/4-x=x/7

Respuesta :

jimrgrant1 jimrgrant1
  • 08-04-2020

Answer:

x = [tex]\frac{21}{32}[/tex]

Step-by-step explanation:

Given

[tex]\frac{3}{4}[/tex] - x = [tex]\frac{x}{7}[/tex]

Multiply through by 28 ( the LCM of 4 and 7 ) to clear the fractions

21 - 28x = 4x ( subtract 4x from both sides )

21 - 32x = 0 ( subtract 21 from both sides )

- 32x = - 21 ( divide both sides by - 32 )

x = [tex]\frac{21}{32}[/tex]

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