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Solve the equation. If there is no solution, select no solution.

| x | - 7 = 6





x = 13 or x = –13

x = –1

no solution

x = 13

1 answer

To solve the equation \(| x | - 7 = 6\), we can first isolate the absolute value expression:

\[ | x | - 7 + 7 = 6 + 7 \] \[ | x | = 13 \]

Now we need to consider both cases for the absolute value:

  1. \( x = 13 \)
  2. \( x = -13 \)

Thus, the solutions are \( x = 13 \) or \( x = -13 \).

The answer is:

x = 13 or x = –13