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How to Solve Linear Equations

Learn methods for solving simple linear equations like ax + b = c.

๐Ÿ“ Step by Step

  1. 1 Identify the variable (usually x) and all numbers in the equation.
  2. 2 Use inverse operations to isolate the variable. If a number is added, subtract it from both sides.
  3. 3 If the variable is multiplied by a number, divide both sides by that number.
  4. 4 Check your answer by substituting the found value back into the original equation.

Example with Solution

Example

9x + 10
=
100
x = 10

Solution Steps

  1. 1
    Write the equation: 9x +10 = 100
    9x + 10
    =
    100
  2. 2
    Subtract b from both sides: 9x +10 - 10 = 100 - 10
  3. 3
    Simplify: 9x = 90
    9x
    =
    90
  4. 4
    Divide both sides by a: (9x) / 9 = 90 / 9
  5. 5
    Result: x = 10
    x
    =
    10
    x = 10
  6. 6
    Check: 9 ร— 10 +10 = 100 = 100 โœ“

Practice Now!

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