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Solve for all values of 
b in simplest form.

10=|7-2b|
Answer: 
b=

Solve for all values of b b in simplest form.\newline10=72b 10=|7-2 b| \newlineAnswer: b= b=

Full solution

Q. Solve for all values of b b in simplest form.\newline10=72b 10=|7-2 b| \newlineAnswer: b= b=
  1. Understand absolute value equation: Understand the absolute value equation.\newlineThe absolute value equation is 10=72b10 = |7 - 2b|. We need to solve for bb.
  2. Set up two equations: Set up two separate equations to account for the absolute value.\newlineSince the absolute value of a number can be either positive or negative, we have two cases:\newlineCase 11: 72b=107 - 2b = 10\newlineCase 22: 72b=107 - 2b = -10
  3. Solve for b in Case 11: Solve for b in Case 11.\newlineStarting with 72b=107 - 2b = 10, we subtract 77 from both sides to isolate the term with bb.\newline72b7=1077 - 2b - 7 = 10 - 7\newline2b=3-2b = 3\newlineNow, divide both sides by 2-2 to solve for bb.\newlineb=3/(2)b = 3 / (-2)\newlineb=3/2b = -3/2
  4. Solve for b in Case 22: Solve for b in Case 22.\newlineStarting with 72b=107 - 2b = -10, we subtract 77 from both sides to isolate the term with bb.\newline72b7=1077 - 2b - 7 = -10 - 7\newline2b=17-2b = -17\newlineNow, divide both sides by 2-2 to solve for bb.\newlineb=17/(2)b = -17 / (-2)\newlineb=17/2b = 17/2

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