Question

What happens when a value causes a denominator in a fraction to be equal to zero?
Responses

The value of the equation becomes zero.

There are infinite solutions.

This value is a solution to the equation.

This fraction is undefined.
Answer
Rewrite the equation (5)/(2x-8)−1=9
as two equations joined by “and.”

(5)/(2x-8)−1=9 and x≠4

(5)/(2x-8)−1=9 and x≠−4

(5)/(2x-8)=9 and x≠−8

(5)/(2x-8)−1=9 and x≠8
Answer
What value makes the equation −5=4−(3x)/(4-3x)
undefined?(1 point)
Responses

−3/4
negative Start Fraction 3 over 4 End Fraction

4/3
Start Fraction 4 over 3 End Fraction

3/4
Start Fraction 3 over 4 End Fraction

−4/3
Answered by GPT 3.5
This fraction is undefined.
Answered by GPT 3.5
(5)/(2x-8)−1=9 and x≠4
Answered by GPT 3.5
The value that makes the equation undefined is 3/4 (Start Fraction 3 over 4 End Fraction).