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- Solving Linear Systems

Still Confused?

Try reviewing these fundamentals first.

Still Confused?

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:

$x + 4y + 7z = 109$

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

$5x + y - z = 10$

13.

Solving Linear Systems

13.1

Determining number of solutions to linear equations

13.2

Solving systems of linear equations by graphing

13.3

Using elimination method to solve systems of equations

13.4

Using substitution method to solve systems of equations

13.5

Money related questions in linear equations

13.6

Unknown number related questions in linear equations

13.7

Distance and time related questions in linear equations

13.8

Rectangular shape related questions in linear equations

13.9

Solving 3 variable systems of equations by substitution

13.10

Solving 3 variable systems of equations by elimination

13.11

Solving 3 variable systems of equations (no solution, infinite solutions)

13.12

Word problems relating 3 variable systems of equations