Question
2. Solve each equation. L.33 a. \( -14+10 s=-44 \) b. \( 9 t-29=52 \)
Ask by Henry Todd. in the United States
Mar 22,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( s = -3 \) and \( t = 9 \).
Solution
1. **Equation a:** \( -14 + 10s = -44 \)
- Add \(14\) to both sides:
\[
-14 + 10s + 14 = -44 + 14 \quad \Rightarrow \quad 10s = -30
\]
- Divide both sides by \(10\):
\[
s = \frac{-30}{10} = -3
\]
2. **Equation b:** \( 9t - 29 = 52 \)
- Add \(29\) to both sides:
\[
9t - 29 + 29 = 52 + 29 \quad \Rightarrow \quad 9t = 81
\]
- Divide both sides by \(9\):
\[
t = \frac{81}{9} = 9
\]
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Simplify this solution The Deep Dive
To solve the first equation, \( -14 + 10s = -44 \), start by adding 14 to both sides: \( 10s = -30 \). Then, divide both sides by 10 to find \( s = -3 \). For the second equation, \( 9t - 29 = 52 \), add 29 to both sides: \( 9t = 81 \). Finally, divide by 9 to get \( t = 9 \). So, \( s = -3 \) and \( t = 9 \)!
