Question

What number must multiply each side of the equation 25x=10 to produce the equivalent equation x = 25?

15

52

4

5

Answer 1

Multiply both sides by
`(5)/(2)`

Explanation:

Given

`(2)/(5)x = 10`

Required

Get an equivalent of
`x = 25`

To do this, we simply multiply through by
`(5)/(2)`

`(5)/(2) * (2)/(5)x = 10 * (5)/(2)`

`(5*2)/(2*5) x = 10 * (5)/(2)`

`(10)/(10) x = 10 * (5)/(2)`

`(1)/(1) x = 10 * (5)/(2)`

`x = 10 * (5)/(2)`

`x =(10*5)/(2)`

`x =(50)/(2)`

`x = 25`