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Math Asked by a SnapAndSolve user · about 2 hours ago

Solve the equation. |a - 6| / 8 = 5 A. a = 34 B. a = -46, a = 34 C. a = -34, a = 46 D. a = -34

3. Solve the equation.
|a - 6| / 8 = 5
A. a = 34
B. a = -46, a = 34
C. a = -34, a = 46
D. a = -34

Answer

To solve the equation |a - 6| / 8 = 5, first multiply both sides by 8 to get rid of the denominator:

|a - 6| = 40

This gives us two possible equations:

  1. a - 6 = 40
  2. a - 6 = -40

Solving these:

  1. a - 6 = 40 → a = 46
  2. a - 6 = -40 → a = -34

The solutions are a = 46 and a = -34. Therefore, the correct answer is:

C. a = -34, a = 46

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