gympup43 gympup43
  • 20-09-2021
  • Mathematics
contestada

5/x-3=10/x
prove x=6

Respuesta :

renknee
renknee renknee
  • 20-09-2021

Answer/Explanation:

First way:

Step 1: Cross-multiply.

  • [tex]\frac{5}{x-3} = \frac{10}{x}[/tex]
  • [tex]5 * x = 10 * (x-3)[/tex]
  • [tex]5x = 10x - 30[/tex]

Step 2: Subtract 10x from both sides.

  • [tex]5x - 10x = 10x - 30 - 10x[/tex]
  • [tex]-5x = -30[/tex]

Step 3: Divide both sides by -5.

  • [tex]\frac{-5x}{-5} = \frac{-30}{-5}[/tex]
  • [tex]x = 6[/tex]

Second way:

1. [tex]\frac{5}{6-3} = \frac{10}{6}[/tex]

2. [tex]\frac{5}{3} = \frac{10}{6}[/tex]

3. [tex]\frac{5}{3} = \frac{5}{3}[/tex]

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