Isolating Variable Math Example 5

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

Example 5

hard
Solve P=2l+2wP = 2l + 2w for ww.

Solution

  1. 1
    Subtract 2l2l: P−2l=2wP - 2l = 2w.
  2. 2
    Divide by 2: w=P−2l2w = \frac{P - 2l}{2}.

Answer

w=P−2l2w = \frac{P - 2l}{2}
When isolating a variable in a multi-variable formula, treat all other variables as constants and use standard inverse operations.

About Isolating Variable

Rearranging an equation by applying inverse operations until the variable stands alone on one side.

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More Isolating Variable Examples

Example 1 easy

Isolate [formula] in [formula].

Example 2 medium

Solve [formula] for [formula].

Example 3 medium

Solve for y: 3(2y - 4) + 5 = 2y + 9

Example 4 easy

Isolate [formula] in [formula].

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