Question
\( \begin{array}{ll}\text { 17. }-8 y=120 & \text { 18. }-12=\frac{y}{-6} \\ \text { 21. }-8=\frac{y}{11} & \text { 22. }-52=-13 m \\ \text { 25. }-39=-3 n & \text { 26. } 5=\frac{m}{8} \\ \text { 29. } 81=9 b & \text { 30. } \frac{x}{25}=-8\end{array} \)
Ask by Weaver Bradley. in the United States
Mar 15,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
**17. \( y = -15 \)**
**18. \( y = 72 \)**
**21. \( y = -88 \)**
**22. \( m = 4 \)**
**25. \( n = 13 \)**
**26. \( m = 40 \)**
**29. \( b = 9 \)**
**30. \( x = -200 \)**
Solution
**17. Solve \( -8y = 120 \)**
Divide both sides by \(-8\):
\[
y = \frac{120}{-8} = -15
\]
**18. Solve \( -12 = \frac{y}{-6} \)**
Multiply both sides by \(-6\) to isolate \( y \):
\[
y = -12 \times (-6) = 72
\]
**21. Solve \( -8 = \frac{y}{11} \)**
Multiply both sides by \(11\):
\[
y = -8 \times 11 = -88
\]
**22. Solve \( -52 = -13m \)**
Divide both sides by \(-13\):
\[
m = \frac{-52}{-13} = 4
\]
**25. Solve \( -39 = -3n \)**
Divide both sides by \(-3\):
\[
n = \frac{-39}{-3} = 13
\]
**26. Solve \( 5 = \frac{m}{8} \)**
Multiply both sides by \(8\):
\[
m = 5 \times 8 = 40
\]
**29. Solve \( 81 = 9b \)**
Divide both sides by \(9\):
\[
b = \frac{81}{9} = 9
\]
**30. Solve \( \frac{x}{25} = -8 \)**
Multiply both sides by \(25\):
\[
x = -8 \times 25 = -200
\]
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution Mind Expander
To solve these equations, it's important to remember that each equation represents a unique relationship. For example, in \(-8y = 120\), the easy first step is to divide both sides by -8, revealing that \(y = -15\). Similarly, in \(-12 = \frac{y}{-6}\), multiplying -6 throughout helps find that \(y = 72\). When solving equations like \(-52 = -13m\), clarity comes from isolating the variable; dividing gives \(m = 4\). Watch out for common errors, such as sign mistakes or losing track of the variable during calculations. Always double-check your work by substituting your solution back into the original equation!
