Question
Solve the equations
8y - 1 = -17
t/5 + 7 =-1
8y - 1 = -17
t/5 + 7 =-1
Answers
Answered by
GPT-4o mini
Let's solve each equation one by one.
1. For the equation \( 8y - 1 = -17 \):
First, add 1 to both sides:
\[
8y - 1 + 1 = -17 + 1
\]
This simplifies to:
\[
8y = -16
\]
Next, divide both sides by 8:
\[
y = \frac{-16}{8} = -2
\]
Thus, \( y = -2 \).
2. For the equation \( \frac{t}{5} + 7 = -1 \):
First, subtract 7 from both sides:
\[
\frac{t}{5} + 7 - 7 = -1 - 7
\]
This simplifies to:
\[
\frac{t}{5} = -8
\]
Next, multiply both sides by 5:
\[
t = -8 \times 5 = -40
\]
Thus, \( t = -40 \).
Final answers:
- \( y = -2 \)
- \( t = -40 \)
1. For the equation \( 8y - 1 = -17 \):
First, add 1 to both sides:
\[
8y - 1 + 1 = -17 + 1
\]
This simplifies to:
\[
8y = -16
\]
Next, divide both sides by 8:
\[
y = \frac{-16}{8} = -2
\]
Thus, \( y = -2 \).
2. For the equation \( \frac{t}{5} + 7 = -1 \):
First, subtract 7 from both sides:
\[
\frac{t}{5} + 7 - 7 = -1 - 7
\]
This simplifies to:
\[
\frac{t}{5} = -8
\]
Next, multiply both sides by 5:
\[
t = -8 \times 5 = -40
\]
Thus, \( t = -40 \).
Final answers:
- \( y = -2 \)
- \( t = -40 \)