Question
What value of \( s \) is a solution to this equation? \( \begin{array}{l}3-6 s=3 s+48 \\ s=-7 \\ s=-5\end{array} \)
Ask by Sullivan Norris. in the United States
Jan 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( s = -5 \)
Solution
Solve the equation \( 3-6s=3s+48 \).
Solve the equation by following steps:
- step0: Solve for \(s\):
\(3-6s=3s+48\)
- step1: Move the variable to the left side:
\(3-6s-3s=48\)
- step2: Subtract the terms:
\(3-9s=48\)
- step3: Move the constant to the right side:
\(-9s=48-3\)
- step4: Subtract the numbers:
\(-9s=45\)
- step5: Change the signs:
\(9s=-45\)
- step6: Divide both sides:
\(\frac{9s}{9}=\frac{-45}{9}\)
- step7: Divide the numbers:
\(s=-5\)
The value of \( s \) that is a solution to the equation is \( s = -5 \).
Answered by UpStudy AI and reviewed by a Professional Tutor
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Bonus Knowledge
To solve the equation \( 3 - 6s = 3s + 48 \), we start by isolating the variable \( s \). First, add \( 6s \) to both sides: \[ 3 = 3s + 6s + 48 \] \[ 3 = 9s + 48 \] Next, subtract \( 48 \) from both sides: \[ 3 - 48 = 9s \] \[ -45 = 9s \] Now, divide both sides by \( 9 \): \[ s = -5 \] So, the value of \( s \) that is a solution to the equation is \( s = -5 \).