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- NZ Year 12 Maths
- Simultaneous Equations (Advanced)

Still Confused?

Try reviewing these fundamentals first.

Still Confused?

Try reviewing these fundamentals first.

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Get Started Now- 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,

- 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:

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

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

$z = 4$

8.

Simultaneous Equations (Advanced)

8.1

Simultaneous linear equations

8.2

Simultaneous linear-quadratic equations

8.3

Simultaneous quadratic-quadratic equations

8.4

Solving 3 variable simultaneous equations by substitution

8.5

Solving 3 variable simultaneous equations by elimination

8.6

Solving 3 variable simultaneous equations with no or infinite solutions

8.7

Word problems relating 3 variable simultaneous equations