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
Start Fraction 1 over 20 End Fraction

−120

1 answer

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

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

Now, simplify \( \frac{-18}{52} \):

\[ x = \frac{-18 \div 2}{52 \div 2} = \frac{-9}{26} \]

This does not appear to match any of the provided responses directly. Let’s verify the given options:

  • −20
  • −516
  • 120
  • −120

None of these options correspond to \( \frac{-9}{26} \). It seems that none of your response options are correct based on the calculation of the original equation \( 52x = -18 \).

If you're looking for the decimal equivalent of \( \frac{-9}{26} \), that is approximately \( -0.34615384615384615 \), which also does not match any provided responses.

Re-check the problem statement or the response options for any miscommunication or errors.