Answer/Step-by-step explanation:
The equation, [tex] \frac{20}{x} = -5 [/tex] 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:
[tex] \frac{20}{-4} = -5 [/tex].
Simplifying the equation:
[tex] -5 = -5 [/tex] (this is true).
A value of x that can make the equation false is 4.
Thus, replace x with 4, then simplify.
[tex] \frac{20}{x} = -5 [/tex]
[tex] \frac{20}{4} = -5 [/tex]
[tex] 5 = -5 [/tex] (false. 5 ≠ -5)
