Question

When solving negative one over five(x − 25) = 7, what is the correct sequence of operations?

A. Multiply each side by negative one over five, add 25 to each side
B.Multiply each side by 5, subtract 25 from each side
C.Multiply each side by negative one over five, subtract 25 from each side
D.Multiply each side by −5, add 25 to each side

Answer 1

C.Multiply each side by negative one over five, subtract 25 from each side

Answer 2

Option: D is the correct answer.

D.Multiply each side by −5, add 25 to each side

Explanation:

We are given an algebraic expression in terms of variable x as follows:

`(-1)/(5)(x-25)=7`

Now, firstly we will multiply both side of the equation by -5 to get:

`(-1)/(5)* (-5)(x-25)=7* -5\\\\i.e.\\\\x-25=-35`

Now we add both side of the equation by 25 to get:

`x-25+25=-35+25\\\\i.e.\\\\x+0=-10\\\\i.e.\\\\x=-10`