What value makes the equation −5=4−3x4−3x undefined?

−4/3

3/4

−3/4

4/3

1 answer

To determine when the equation \(-5 = 4 - 3x4 - 3x\) becomes undefined, we first need to clarify the expression on the right side. It seems there might be a typo because "3x4" may not be formatted correctly in context.

However, one possible interpretation could be \(4 - 3x + 4 - 3x\) or for the second term, it might be a multiplication \(4 - 3 \cdot x \cdot 4 - 3x\). Let’s take the potential derivative \( -3x \) and rewrite this in more manageable terms:

If we consider the expression can be simplifying as: \[ -5 = 4 - 3x + 4 - 3x \] This simplifies the right-hand side as: \[ -5 = 8 - 6x \]

To eliminate the possibility of obtaining a valid solution for \(x\):

  1. Set the right-hand side equal to -5 when rewritten and simplified: -5 = 8 - 6x

  2. Move 8 to the left side: \[ -5 - 8 = -6x \] \[ -13 = -6x \]

  3. Divide both sides by -6: \[ x = \frac{-13}{-6} = \frac{13}{6} \]

Upon looking at the options provided (−4/3, 3/4, -3/4, 4/3), none of these provide a valid answer in terms of defining when the equation would become undefined.

In essence, one way for an equation to be undefined, particularly referring to divisions or multiplications, is for either bounds/cases or directly implying variables to be zero. In this case, if the \(x\) outcome must derive output from any choice leaving the fundamental equivalent zero this would lead to false definitions.

Hence, if you mean "what makes it undefined" potentially rather would request additional context.

Define key contextual or exact constraints for the answer. If this were worked correctly yielding the undefined term must be evaluated on inputs. Would mean something specifically leading the outcome as invalid or undefined terms based upon x inequalities or ranges.

If we receive clearer meanings or definitions on Simplify the options, feel free to clarify!