Question

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

Answer 1

Answer:

Step-by-step explanation:

3a-7=-4b+b

3a-7=-3b

3a+3b-7=0

Answer 2

Answer:

The answer is

$b = 2 - \frac{3a}{4}$

Step-by-step explanation:

To rearrange the equation so that "a" is the independent variable and "b" is the dependent variable,

we need to isolate "b" on one side of the equation.

Starting with the given equation:

3a - 7 = -4b + 1

We can start by adding 4b and 7 to both sides to isolate the "-4b" term:

3a - 7 + 4b + 7 = -4b + 1 + 4b + 7

Simplifying both sides, we get:

3a + 4b = 8

Finally, we can solve for "b" by dividing both sides by 4:

$\frac{3a}{4} + \frac{4b}{4} = \frac{8}{4}$

Simplifying, we get:

$\frac{3a}{4} + b = 2$

Therefore, the rearranged equation in terms of "b" as the dependent variable is:

$b = 2 - \frac{3a}{4}$

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