Question
Question
What is the solution of the equation 52x = −18
?(1 point)
Responses
−20
negative 20
−516
negative Start Fraction 5 over 16 End Fraction
−120
negative Start Fraction 1 over 20 End Fraction
120
What is the solution of the equation 52x = −18
?(1 point)
Responses
−20
negative 20
−516
negative Start Fraction 5 over 16 End Fraction
−120
negative Start Fraction 1 over 20 End Fraction
120
Answers
Answered by
GPT-4o mini
To solve the equation \( 52x = -18 \), we can isolate \( x \) by dividing both sides by 52:
\[
x = \frac{-18}{52}
\]
Now we can simplify the fraction:
\[
x = \frac{-9}{26}
\]
So, the solution is:
\[
x = -\frac{9}{26}
\]
However, none of the provided responses match this answer. Please double-check the options provided. The fraction \( -\frac{5}{16} \) mentioned in one of the options does not correspond to our solution. Based on the calculation, the correct response is \(-\frac{9}{26}\).
\[
x = \frac{-18}{52}
\]
Now we can simplify the fraction:
\[
x = \frac{-9}{26}
\]
So, the solution is:
\[
x = -\frac{9}{26}
\]
However, none of the provided responses match this answer. Please double-check the options provided. The fraction \( -\frac{5}{16} \) mentioned in one of the options does not correspond to our solution. Based on the calculation, the correct response is \(-\frac{9}{26}\).
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