Question

Determine whether the equation below has a one solutions, no solutions, or an infinite number of solutions. Afterwards, determine two values of x x that support your conclusion. x − 5 = x−5= 5 − x 5−x

Answer 1

It has 1 solution

`x=5`

Explanation:

Given

`x - 5 = 5 - x`

Required

Determine the number of solution

`x - 5 = 5 - x`

Collect Like Terms

`x + x = 5 + 5`

`2x = 10`

Divide both sides by 2

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

`x = (10)/(2)`

`x = 5`

Since the value of x is 5, then the equation has 1 solution

`x = 5` is its only value