Question

Rearrange the equation so
\[a\] is the independent variable.
\[3a-7=-4b+1\]
\[b=\]

Answer 1

To rearrange the equation \( 3a - 7 = -4b + 1 \) to solve for \( b \), follow these steps:

1. Start with the original equation:
\[
3a - 7 = -4b + 1
\]

2. To isolate the term involving \( b \), add \( 4b \) to both sides:
\[
3a - 7 + 4b = 1
\]

3. Now, move \( 3a - 7 \) to the right side by subtracting it from both sides:
\[
4b = 1 - (3a - 7)
\]
\[
4b = 1 - 3a + 7
\]

4. Simplify the right side:
\[
4b = 8 - 3a
\]

5. Finally, divide both sides by 4 to solve for \( b \):
\[
b = \frac{8 - 3a}{4}
\]

Thus, the rearranged equation with \( b \) as the subject is:
\[
b = 2 - \frac{3a}{4}
\]