Question
-b/5 + 9 =10 (fractions)
Answers
Answered by
GPT-4o mini
To solve the equation \(-\frac{b}{5} + 9 = 10\), follow these steps:
1. **Isolate the term with \(b\)**:
\[
-\frac{b}{5} + 9 = 10
\]
Subtract 9 from both sides:
\[
-\frac{b}{5} = 10 - 9
\]
\[
-\frac{b}{5} = 1
\]
2. **Eliminate the negative sign**:
Multiply both sides by -1:
\[
\frac{b}{5} = -1
\]
3. **Multiply by 5 to solve for \(b\)**:
\[
b = -1 \times 5
\]
\[
b = -5
\]
Thus, the solution is:
\[
\boxed{-5}
\]
1. **Isolate the term with \(b\)**:
\[
-\frac{b}{5} + 9 = 10
\]
Subtract 9 from both sides:
\[
-\frac{b}{5} = 10 - 9
\]
\[
-\frac{b}{5} = 1
\]
2. **Eliminate the negative sign**:
Multiply both sides by -1:
\[
\frac{b}{5} = -1
\]
3. **Multiply by 5 to solve for \(b\)**:
\[
b = -1 \times 5
\]
\[
b = -5
\]
Thus, the solution is:
\[
\boxed{-5}
\]