Balance Principle Math Example 3

Follow the full solution, then compare it with the other examples linked below.

Example 3

easy
Solve \(n - 9 = 6\) using the balance principle.

Solution

  1. 1
    Add 9 to both sides: \(n - 9 + 9 = 6 + 9\).
  2. 2
    \(n = 15\).
  3. 3
    Check: \(15 - 9 = 6\) ✓

Answer

\(n = 15\)
Add 9 to both sides to undo the subtraction and isolate \(n\).

About Balance Principle

The rule that any operation applied to one side of an equation must also be applied to the other side to preserve equality.

Learn more about Balance Principle →

More Balance Principle Examples

Example 1 easy

Solve (x + 7 = 15) using the balance principle.

Example 2 medium

Solve (3x - 4 = 14) using the balance principle, showing all steps.

Example 4 medium

Solve (frac{x}{4} + 3 = 10).

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