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Determined, impossible or indeterminate equation

Mathematics — first biennium · Lesson

Equations · 7

When x disappears, interpret the result

A reduction can lead to one solution, a contradiction, or an identity. Do not automatically write x=0 when the unknown disappears: inspect the final equality.

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

In this lesson: Interpret the terminal form of an equation and distinguish one solution, no solution and infinitely many solution values.

You can already assume: Linear equations with complete simplification.

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Reduce and interpret

Guided

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

Guide
  1. Bring x-terms to one side and constants to the other.
  2. Reduce to a terminal form.
  3. Interpret it: one solution, no solution, or all values.
Formula matematica
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