Question

Determine whether the equation below has a one solutions, no solutions, or

an infinite number of solutions. Afterwards, determine two values of x that
support your conclusion.
HELP PLEASE

Answer 1

Answer/Step-by-step explanation:

The equation,
`(20)/(x) = -5` has one solution, x.

The value of x that will make the equation true, that is the number we can substitute for x into the equation that will make what we have on our left side equal to what we have on our right side is -4.

Substitute -4 for x in the equation and simplify:

`(20)/(-4) = -5`.

Simplifying the equation:

`-5 = -5` (this is true).

A value of x that can make the equation false is 4.

Thus, replace x with 4, then simplify.

`(20)/(x) = -5`

`(20)/(4) = -5`

`5 = -5` (false. 5 ≠ -5)