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