Question

What is the solution of x +
`(1)/(5)` (x - 1) = 1?

A. 1
B.
`(1)/(3)`
C.
`(2)/(3)`
D.
`(5)/(3)`

Answer 1

Your answer would be A.1

Answer 2

`\boxed{A. \: 1}`

Explanation:

`= > x + (1)/(5) (x - 1) = 1 \\ \\ = > x + ( (1)/(5) * x) - ((1)/(5) * 1) = 1 \\ \\ = > x + (x)/(5) - (1)/(5) = 1 \\ \\ = >( x * (5)/(5) ) + (x)/(5) - (1)/(5) = 1 \\ \\ = > (5x)/(5) + (x)/(5) = 1 + (1)/(5) \\ \\ = > (5x + x)/(5) = (1 * (5)/(5) ) + (1)/(5) \\ \\ = > (6x)/(5) = (5)/(5) + (1)/(5) \\ \\ = > \frac{6x}{ \cancel{5}} = \frac{5 + 1}{ \cancel{5}} \\ \\ = > 6x = 6 \\ \\ = > x = \frac{ \cancel{6}}{ \cancel{6}} \\ \\ = > x = 1`