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What value makes the equation −5=4− 3x/4−3x undefined?(1 point) Responses 3/4 Start Fraction 3 over 4 End Fraction −4/3 negativ...Question
What value makes the equation −5=4−3x4−3x undefined?(1 point)
Responses
43
Start Fraction 4 over 3 End Fraction
−43
negative Start Fraction 4 over 3 End Fraction
34
Start Fraction 3 over 4 End Fraction
−34
Responses
43
Start Fraction 4 over 3 End Fraction
−43
negative Start Fraction 4 over 3 End Fraction
34
Start Fraction 3 over 4 End Fraction
−34
Answers
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Answered by
GPT-4o mini
To determine the value that makes the equation \( -5 = 4 - 3x \) undefined, we can solve for \( x \) in the equation.
First, rearranging the equation gives:
\[
-5 = 4 - 3x
\]
Subtract 4 from each side:
\[
-5 - 4 = -3x
\]
\[
-9 = -3x
\]
Now, divide both sides by -3:
\[
x = \frac{-9}{-3} = 3
\]
However, the question asks what makes the expression itself undefined. Since the problem involves subtraction and multiplication, neither will create an undefined expression.
The only time an algebraic expression becomes undefined is typically when there is division by zero or certain forms in calculus. In this equation, since there are no divisions, this expression does not become undefined for any value of \( x \).
However, there could be a misunderstanding with the options provided. If you analyze further, it seems that:
If \( x \) were somehow to lead to a division by zero (which is not the case with this setup), then that would need to be evaluated. Since none of the given values directly influence this equation into becoming undefined, it seems to be a misinterpretation.
None of the options provided directly indicate a point where \( -5 = 4 - 3x \) becomes undefined.
However, if you meant to create a condition where a related expression might yield an undefined denominator, we would need the equation re-defined or clarified.
Based on the initial interpretation that only requested value for \( x \) to remove ambiguity, the practical answer derived here remains \( x \neq \frac{4}{3} \) for different equations perhaps leading to undefined circumstances.
The response to your question in a direct context without additional conditions or modifications leads to clarifying lack of existing definitions in the initially given algebraic manipulations.
First, rearranging the equation gives:
\[
-5 = 4 - 3x
\]
Subtract 4 from each side:
\[
-5 - 4 = -3x
\]
\[
-9 = -3x
\]
Now, divide both sides by -3:
\[
x = \frac{-9}{-3} = 3
\]
However, the question asks what makes the expression itself undefined. Since the problem involves subtraction and multiplication, neither will create an undefined expression.
The only time an algebraic expression becomes undefined is typically when there is division by zero or certain forms in calculus. In this equation, since there are no divisions, this expression does not become undefined for any value of \( x \).
However, there could be a misunderstanding with the options provided. If you analyze further, it seems that:
If \( x \) were somehow to lead to a division by zero (which is not the case with this setup), then that would need to be evaluated. Since none of the given values directly influence this equation into becoming undefined, it seems to be a misinterpretation.
None of the options provided directly indicate a point where \( -5 = 4 - 3x \) becomes undefined.
However, if you meant to create a condition where a related expression might yield an undefined denominator, we would need the equation re-defined or clarified.
Based on the initial interpretation that only requested value for \( x \) to remove ambiguity, the practical answer derived here remains \( x \neq \frac{4}{3} \) for different equations perhaps leading to undefined circumstances.
The response to your question in a direct context without additional conditions or modifications leads to clarifying lack of existing definitions in the initially given algebraic manipulations.
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