2.3.1

Solve Linear Equations

Test yourself

Solving Linear Equations

When solving linear equations we are trying to find the value of the unknown. Whatever we do to one side of the equation, we must do to the other .

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Example 1

  • To solve this we must find what 'x' is equal to.
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Example 1

  • By subtracting three from both sides we can see x = 2.
  • Always check your answer:
    • 2 + 3 = 5 ✓
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Example 2

  • We need to isolate the 'x' term.
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Example 2

-By subtracting five from both sides we remove the "+5" term.

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Example 2

  • Always check your answer:
    • (-3 × 4) + 5 = -12 +5 = -7 ✓
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Example 3

  • We need to isolate 'x'.
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Example 3

  • First get all 'x' terms on the same side.
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Example 3

  • Always check your answer
    • (5 × 3) - 2 = 13; (3 × 3) + 4 = 13 ✓

Jump to other topics

1Number

1.1Place Value

1.2Factors & Multiples

1.3Operations

1.4Fractions, Decimals & Percentages

1.5Growth & Decay

1.6Measurements & Units

1.7Accuracy

2Algebra

3Ratio, Proportion & Rates of Change

4Geometry & Measures

5Probability

6Statistics

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