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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:

$x + 4y + 7z = 109$

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

$5x + y - z = 10$

8.

Systems of Equations

8.1

Determining number of solutions to linear equations

8.2

Solving linear systems by graphing

8.3

Using substitution method to solve systems of equations

8.4

Using elimination method to solve systems of equations

8.5

Solving 3 variable systems of equations by substitution

8.6

Solving 3 variable systems of equations by elimination

8.7

Solving 3 variable systems of equations with no or infinite solutions

8.8

Word problems relating 3 variable systems of equations