Pregunta
Solve for \( k \) in the equation below. \( 3=-\frac{k}{2}+8 \) \( k=\square \)
Ask by Goodwin Burgess. in the United States
Feb 13,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
\( k = 10 \)
Solución
To solve for k in the equation 3 = -k/2 + 8:
1. Subtract 8 from both sides:
3 − 8 = -k/2
-5 = -k/2
2. Multiply both sides by -2 to isolate k:
(-5)(-2) = k
10 = k
Thus, the solution is k = 10.
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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Extra Insights
To solve the equation \( 3 = -\frac{k}{2} + 8 \), we first isolate the term with \( k \). Start by subtracting 8 from both sides: \[ 3 - 8 = -\frac{k}{2} \] This simplifies to: \[ -5 = -\frac{k}{2} \] Next, let's multiply both sides by -1 to get rid of the negative sign: \[ 5 = \frac{k}{2} \] Now, to solve for \( k \), multiply both sides by 2: \[ k = 5 \times 2 = 10 \] So, the solution is: \[ k = 10 \]
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