Solve for b.

Question

4 = 7 - 6|b|
Write your answers as integers or as proper or improper fractions in simplest form
b =
or
b =

Answer 1

To solve for b, we can start by isolating the absolute value term on one side of the equation.

4 = 7 - 6|b|

First, subtract 7 from both sides of the equation:

4 - 7 = -3 = -6|b|

Next, divide both sides of the equation by -6:

-3 / -6 = 1/2 = |b|

Now, we have two possible values for b - 1/2 and -1/2. The absolute value of b is 1/2, so b can be both positive and negative.

Thus, the solutions for b are:

b = 1/2 or b = -1/2