Solution Concept Math Example 4

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

Example 4

medium
Does the equation x+1=x+2x + 1 = x + 2 have any solutions?

Solution

  1. 1
    Subtract xx from both sides: 1=21 = 2.
  2. 2
    This is false, so the equation has no solutions.

Answer

No solutions.
Some equations have no solutions—they lead to a contradiction (a false statement). No value of xx can make 1=21 = 2 true.

About Solution Concept

A specific value (or set of values) that makes an equation or inequality true when substituted in for the variable.

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More Solution Concept Examples

Example 1 easy

Is [formula] a solution of [formula]?

Example 2 medium

Find all solutions of [formula].

Example 3 easy

Which values are solutions of [formula]: [formula], [formula], [formula]?

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