Question

Variable Expressions in Denominators Quick Check
3 of 53 of 5 Items
Question
What value makes the equation −5=4−3x4−3x
undefined?(1 point)
Responses

−34
negative Start Fraction 3 over 4 End Fraction

−43
negative Start Fraction 4 over 3 End Fraction

34
Start Fraction 3 over 4 End Fraction

43

Answer 1

To determine the value that makes the equation \(-5 = 4 - 3x4 - 3x\) undefined, we must identify when the denominator becomes zero.

However, it seems that the original equation provided has a small formatting issue. I will assume the equation you meant to analyze is something like \(4 - 3x = 0\), since there is no explicit denominator shown in the equation itself.

To find when \(4 - 3x\) becomes zero, we can set the expression equal to zero and solve for \(x\):

\[
4 - 3x = 0
\]

Now, solve for \(x\):

1. Subtract 4 from both sides:

\[
-3x = -4
\]

2. Divide by -3:

\[
x = \frac{4}{3}
\]

This means the expression \(4 - 3x\) is undefined (or equal to zero) when \(x = \frac{4}{3}\).

Given the multiple-choice answers provided, the correct response for the value that makes the equation undefined is:

**\(\frac{4}{3}\)**.