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

Responses

34
Start Fraction 3 over 4 End Fraction

−43
negative Start Fraction 4 over 3 End Fraction

−34
negative Start Fraction 3 over 4 End Fraction

43

1 answer

To determine when the equation \(-5 = 4 - 3x \cdot 4 - 3x\) is undefined, we should focus on where any division by zero could occur.

The equation can be simplified to:

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

However, let's clarify what might make this expression undefined. If this equation involves division by a term that could potentially be zero, we need to look for the values of \(x\) that make the denominator zero.

In expression contexts, if we have something like \(a - b = 0\), then we'd establish that \(b = a\) which can lead to a specific zero consideration. If we were to recall, it would often be denoting terms like -(3x - 4)) or a similar type of division yielding specific undefined conditions.

In this case, inspecting the available responses does not indicate any division given.

However, if we consider:

  1. The term which might lead to undefined behavior could be \(4 - 3x\).
  2. Setting \(4 - 3x = 0\) gives us: \[ 3x = 4 \implies x = \frac{4}{3} \]

For the system to be undefined, it could link back to this where:

  • Notably, if we calculate \(x = \frac{4}{3}\).

Looking through options, we find the corresponding value as noted:

  • Therefore, checking selections, we find:

\[\text{Option indicating } \frac{4}{3}\text{ is observed.}\]

So, the value that makes the equation undefined is:

\(\frac{4}{3}\) which matches up to:

43 (option given).

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