Question

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

Answer 1

Answer/Explanation:

First way:

Step 1: Cross-multiply.

• 
  `(5)/(x-3) = (10)/(x)`
• 
  `5 * x = 10 * (x-3)`
• 
  `5x = 10x - 30`

Step 2: Subtract 10x from both sides.

• 
  `5x - 10x = 10x - 30 - 10x`
• 
  `-5x = -30`

Step 3: Divide both sides by -5.

• 
  `(-5x)/(-5) = (-30)/(-5)`
• 
  `x = 6`

Second way:

1.
`(5)/(6-3) = (10)/(6)`

2.
`(5)/(3) = (10)/(6)`

3.
`(5)/(3) = (5)/(3)`