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Solving Linear Equations

Algebra HOME | Achievement Objectives | Simplify | Expanding | Factorising | Indices | Rearrange | Logs | Fractions | Linear Equations | Inequations | Solving Quadratics equations | Quadratic Formula | Revision

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Linear Equations

Solving linear equations & Fraction equations

 

Class notes, Blank notes

Ex1.07, Ex1.08, Ex1.09, Ex1.10

Theta pg 3 & 4

NuLake EAS Q294 - 333

Jump down to... Simple Linear Equations | Brackets | 'x' on both sides of the =| Brackets | No,one,many solutions | Fractions

Simple Linear Equations

Solve by rearranging - do the opposite operations.  Show working.

1) Rearrange

2) Solve

Working

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Summary:

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Brackets

1) Rearrange

2) Solve

Working

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Summary:

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Variables on both sides of = 

1) Rearrange

2) Rearrange

3) Solve

Working

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Summary:

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Brackets

1) Expand brackets

2) Shift variable

3) Rearrange

4) Solve

Working

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Summary:

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No, One or Infinite solutions

There are three possible situations with equations  with x on both sides:

 One Solution

Working

 No Solutions

Working

 Infinite Solutions

Working

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Equations with Fractions

Multiply all terms by the common denominator

 Common denominator is 15 (3 x 5)

 Simplify

 Solve

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Summary:

 

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