What is the solution of the equation 52x = −18

?(1 point)
Responses

−516
negative Start Fraction 5 over 16 End Fraction

120
Start Fraction 1 over 20 End Fraction

−120
negative Start Fraction 1 over 20 End Fraction

−20

1 answer

To solve the equation \( 52x = -18 \), you can isolate \( x \) by dividing both sides of the equation by 52:

\[ x = \frac{-18}{52} \]

Next, you can simplify this fraction. Both the numerator and the denominator can be divided by 2:

\[ x = \frac{-9}{26} \]

Now, let's convert \( -\frac{9}{26} \) into a decimal for better understanding:

\[ -\frac{9}{26} \approx -0.346 \]

Looking at the responses you provided:

  • \( -516 \)
  • \( -\frac{5}{16} \)
  • \( 120 \)
  • \( \frac{1}{20} \)
  • \( -120 \)
  • \( -\frac{1}{20} \)
  • \( -20 \)

None of the provided responses match \( -\frac{9}{26} \). Therefore, it appears that this exact solution is not included in your options.

If there were a mistake or confusion with the options provided or the problem itself, please double-check the equation or the answers given.

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