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Still Confused?

Try reviewing these fundamentals first.

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Try reviewing these fundamentals first.

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Get Started Now- Lesson: 16:49
- Lesson: 27:21
- Lesson: 36:03

Basic concepts: Solving systems of linear equations by elimination,

Related concepts: Solving 3 variable systems of equations by substitution, Solving 3 variable systems of equations with no or infinite solutions,

The idea of elimination is to convert 3 equations with 3 variables to 2 equations with 2 variables, then to 1 equation with 1 variable.

- 1.
**Solving Three Variable Systems of Equations by Substitution – (Easy)**Solve the following system of equations by elimination:

$x - 4y + z = -12$

$x + 3y - z = 6$

$2x - 2y + z = 5$

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

$4x - 3y + 2z = 20$

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

$x + y - z = 2$

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

$x + 4y + 7z = 109$

$4x - 5y + 4z = -29$

$5x + y - z = 10$

17.

Simultaneous Equations

17.1

Determining number of solutions to linear equations

17.2

Solving simultaneous linear equations by graphing

17.3

Solving simultaneous linear equations by elimination

17.4

Solving simultaneous linear equations by substitution

17.5

Money related questions in linear equations

17.6

Unknown number related questions in linear equations

17.7

Distance and time related questions in linear equations

17.8

Rectangular shape related questions in linear equations

17.9

Simultaneous linear-quadratic equations

17.10

Simultaneous quadratic-quadratic equations

17.11

Solving 3 variable simultaneous equations by substitution

17.12

Solving 3 variable simultaneous equations by elimination

17.13

Solving 3 variable simultaneous equations with no solution, infinite solutions

17.14

Word problems relating 3 variable simultaneous equations