Question

determine whether the equation below has one solution, no solutions, or an infinite number of solutions. afterwards, determine two values of x that support your conclusion.
\\(\frac{24}{x} = 0\\)
answer attempt 1 out of 2
the equation has select an option.
select an option
one solution
infinite solutions
no solutions

Explanation:

Step1: Analyze the equation $\frac{24}{x}=0$

For a fraction $\frac{a}{b}$ to equal 0, the numerator $a$ must be 0 (and the denominator $b
eq0$). Here, the numerator is 24, which is not 0. Also, the denominator $x$ cannot be 0 (since division by 0 is undefined). So, there's no value of $x$ that makes this equation true.

Step2: Test values (e.g., $x = 1$ and $x = 24$)

• For $x = 1$: $\frac{24}{1}=24

eq0$.

• For $x = 24$: $\frac{24}{24}=1

eq0$.

Answer:

The equation has no solutions. Two values: $x = 1$ (gives $\frac{24}{1}=24
eq0$) and $x = 24$ (gives $\frac{24}{24}=1
eq0$) support this (other valid values can also be used).