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

Answer:

It has 1 solution

$x=5$

Step-by-step 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

$\frac{2x}{2} = \frac{10}{2}$

$x = \frac{10}{2}$

$x = 5$

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

$x = 5$ is its only value