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- AU Maths Extension 1
- Simultaneous Equations

Still Confused?

Try reviewing these fundamentals first

Still Confused?

Try reviewing these fundamentals first

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Get Started Now- Intro Lesson2:12
- Lesson: 14:11
- Lesson: 24:35
- Lesson: 35:50

Basic Concepts: Solving systems of linear equations by substitution

Related Concepts: Solving 3 variable systems of equations by elimination, Solving 3 variable systems of equations with no or infinite solutions

- IntroductionHow to Solve Three Variable Systems of Equations?
- 1.
**Solving Three Variable Systems of Equations – (Easy)**Solve the following system of equations by substitution:

$2x + 3y + 4z = 0$

$2y + 3z = 23$

$z = 5$

- 2.
**Solving Three Variable Systems of Equations – (Medium)**Solve the following system of equations by substitution:

$3x - 5y + z = 0$

$x - 2y - z = 0$

$z = -2$

- 3.
**Solving Three Variable Systems of Equations – (Hard)**Solve the following system of equations by substitution:

$15x + 7y - 6z = -9$

$5x - 3y + 6z = 13$

$z = 4$

9.

Simultaneous Equations

9.1

Determining number of solutions to linear equations

9.2

Solving simultaneous linear equations by graphing

9.3

Solving simultaneous linear equations by elimination

9.4

Solving simultaneous linear equations by substitution

9.5

Money related questions in linear equations

9.6

Unknown number related questions in linear equations

9.7

Distance and time related questions in linear equations

9.8

Rectangular shape related questions in linear equations

9.9

Simultaneous linear-quadratic equations

9.10

Simultaneous quadratic-quadratic equations

9.11

Solving 3 variable simultaneous equations by substitution

9.12

Solving 3 variable simultaneous equations by elimination

9.13

Solving 3 variable simultaneous equations with no or infinite solutions

9.14

Word problems relating 3 variable simultaneous equations