Checking Solutions Math Example 1

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

Example 1

easy
Check whether x=5x = 5 is a solution of 2x−3=72x - 3 = 7.

Solution

  1. 1
    Substitute x=5x = 5 into the left side: 2(5)−3=10−3=72(5) - 3 = 10 - 3 = 7.
  2. 2
    Compare with right side: 7=77 = 7 ✓
  3. 3
    Yes, x=5x = 5 is a solution.

Answer

Yes, x=5x = 5 is a solution.
Checking a solution means substituting the candidate value and verifying both sides of the equation are equal.

About Checking Solutions

Checking solutions means substituting candidate values back into the original condition to verify they satisfy it.

Learn more about Checking Solutions →

More Checking Solutions Examples

Example 2 medium

Solve [formula] and check for extraneous solutions.

Example 3 easy

Is [formula] a solution of [formula]?

Example 4 medium

Someone solved [formula] and got [formula]. Is this valid?

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