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First equivalence principle

Mathematics — first biennium · Lesson

Equations · 3

The same operation on both members

The first principle preserves solutions when you add or subtract the same quantity on both sides. We avoid the shortcut 'move it across and change the sign': first make explicit the operation that preserves balance.

Formula matematica
Formula matematica
What you need to know before the exercises

In this lesson: Apply the same addition or subtraction to both members while keeping explicit the operation that preserves balance.

You can already assume: Solution verification and algebraic sums.

Try it now

Apply the first principle

Guided

Completed exercises: 0/5 · Correct on first attempt: 0

Guide
  1. Identify the constant term you want to remove from the member containing x.
  2. Subtract 5 on both members.
  3. Simplify both members.
Formula matematica
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What you need to know for First equivalence principle

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