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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:

$x + 4y + 7z = 109$

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

$5x + y - z = 10$

4.

Systems of Equations

4.1

Determining number of solutions to linear equations

4.2

Solving systems of linear equations by graphing

4.3

Using elimination method to solve systems of equations

4.4

Using substitution method to solve systems of equations

4.5

Money related questions in linear equations

4.6

Unknown number related questions in linear equations

4.7

Distance and time related questions in linear equations

4.8

Rectangular shape related questions in linear equations

4.9

System of quadratic-quadratic equations

4.10

Solving 3 variable systems of equations by substitution

4.11

Solving 3 variable systems of equations by elimination

4.12

Solving 3 variable systems of equations with no solution, infinite solutions

4.13

Word problems relating 3 variable systems of equations