What is the solution of the equation 85x = −10

?(1 point)
Responses

−254
negative Start Fraction 25 over 4 End Fraction

−16
negative 16

−58
negative Start Fraction 5 over 8 End Fraction

−116
negative Start Fraction 1 over 16 End Fraction

1 answer

To solve the equation \( 85x = -10 \), you divide both sides by 85:

\[ x = \frac{-10}{85} \]

Now, simplify \(-10/85\):

\[ x = \frac{-2}{17} \]

None of the provided options matches this answer directly. However, let's evaluate the provided responses to see if any of them could potentially represent \(-2/17\) or if there was error.

  1. −254
  2. negative Start Fraction 25 over 4 End Fraction (which is \(-\frac{25}{4}\))
  3. −16
  4. negative 16
  5. −58
  6. negative Start Fraction 5 over 8 End Fraction (which is \(-\frac{5}{8}\))
  7. −116
  8. negative Start Fraction 1 over 16 End Fraction (which is \(-\frac{1}{16}\))

None of these options is equal to \(-\frac{2}{17}\). Therefore, you might want to double-check the options or the original equation you are trying to solve.

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