pedrojoe
pedrojoe pedrojoe
  • 25-02-2022
  • Mathematics
contestada

What is the value of x in this proportion?

2/7=−5/x+3


x=−20 1/2

x=−19

x=−16

x=−14 1/2

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 25-02-2022

Answer:

  (a)  x=−20 1/2

Step-by-step explanation:

Multiply by the product of the denominators and solve the resulting linear equation in the usual way.

  [tex]\dfrac{2}{7}=\dfrac{-5}{x+3}\\\\2(x+3)=-5(7)\qquad\text{multiply by $7(x+3)$}\\\\2x+6=-35\qquad\text{simplify}\\\\2x=-41\qquad\text{subtract 6}\\\\\boxed{x=-20\dfrac{1}{2}}\qquad\text{divide by 2}[/tex]

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