Question

What value makes the equation −5=4−3x4−3x
undefined?(1 point)
Responses

34
Start Fraction 3 over 4 End Fraction

43
Start Fraction 4 over 3 End Fraction

−34
negative Start Fraction 3 over 4 End Fraction

−43
negative Start Fraction 4 over 3 End Fraction

Answer 1

To determine the value that makes the equation undefined, we first need to analyze the equation given:

\[-5 = 4 - 3x + 4 - 3x\]

We can simplify the right side of the equation:

\[-5 = 4 + 4 - 3x - 3x\]
\[-5 = 8 - 6x\]

The next step is to solve for \(x\). This equation is not undefined unless there is a value of \(x\) that causes a division by zero or an invalid mathematical operation. However, from the structure of the equations, it looks pretty straightforward.

1. Rearranging the equation:
\[-5 - 8 = -6x\]
\[-13 = -6x\]

2. Now, dividing both sides by -6:
\[x = \frac{13}{6}\]

Since the calculations did not involve any division by zero, we conclude that the equation does not become undefined for any of these options. However, if the form initially contained something like a fraction with x in the denominator that could potentially go to zero, that would define when it’s undefined, but it doesn't appear like that in the equation given.

Thus, none of these options are specifically values that make the equation undefined based on what you've provided. If there's a misunderstanding about the equation or any additional context, feel free to clarify.