Solve for s in the following equation: 11/s+3 + 4 = 5

.(1 point)
s=

1 answer

To solve the equation \( \frac{11}{s} + 3 + 4 = 5 \), start by simplifying the equation:

  1. Combine the constant terms on the left: \[ \frac{11}{s} + 7 = 5 \]

  2. Next, isolate the fraction \( \frac{11}{s} \) by subtracting 7 from both sides: \[ \frac{11}{s} = 5 - 7 \] \[ \frac{11}{s} = -2 \]

  3. Now, solve for \( s \) by taking the reciprocal and multiplying: \[ 11 = -2s \]

  4. To find \( s \), divide both sides by -2: \[ s = \frac{11}{-2} \] \[ s = -\frac{11}{2} \]

So, the final answer is: \[ s = -\frac{11}{2} \]

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