Equations Math Example 1

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

Example 1

easy
Is x=4x = 4 a solution of 2x−3=52x - 3 = 5?

Solution

  1. 1
    Substitute x=4x = 4 into the left side: 2(4)−3=8−3=52(4) - 3 = 8 - 3 = 5.
  2. 2
    Compare with the right side: 5=55 = 5 ✓.
  3. 3
    Since both sides are equal, x=4x = 4 is a solution.

Answer

Yes, x=4x = 4 is a solution.
An equation asserts that two expressions are equal. A value is a solution if substituting it makes both sides equal. Always check by plugging the value back in.

About Equations

A mathematical statement that two expressions are equal, connected by an equals sign (==). Equations assert a relationship between quantities and can be solved to find the values of unknown variables that make the statement true.

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Example 4 hard

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