Unit 2 Review (Linear Systems)

Graphing

100

y = 2x + 2

y = x - 1

(-3, -4)

200

y = 2x + 4

y = 3x + 2

(2, 8)

300

x = 3

y = 2x + 1

(3, 7)

400

4x + 2y = 8

2x + y = 4

Many Solutions

500

y = 1/2 x + 2

y = 1/4 x + 4

(8, 6)

Substitution

100

y = 2

3x + 2y = 10

(2, 2)

200

x + 3y = 2

-x + 2y = 3

(-1, 1)

300

x = 4y - 7

2x + 9y = -31

(-11, -1)

400

2x – 3y = –2

 4x + y = 24

(5, 4)

500

y = -6x - 7

7x + y = -3

(4,-31)

Elimination

100

x + 3y = 5

2x -3y = -8

(-1, 2)

200

-5y + 8x = -18

5y + 2x = 58

(4, 10)

300

3y - 5x = -26

-2y - 5x = -16

(4, -2)

400

3x−4y=8

18x−5y=10

(0, -2)

500

-5x − 2y =8

-x + 4y = 6

(-2, 1)

3x3 Systems

100

 -7x - 7y + z = 5

4x + 4y - z = -5

9x + 10y - z = -2

x = -3

y = 3

z = 5

200

x + 6y + z = -7

x + 2y + z = 1

x - 4y - z = -3

x = -3

y = -2

z = 8

300

7x + y + 3z = 3

-4x - y - 2z = -4

-5x - y - 4z = -2

x = 0

y = 6

z = -1

400

7x - 4y + 7z = -5

6x - y + 10z = 3

5x - 4y - 4z = -7

x = 1

y = 3

z = 0

500

5x + 2y - z = 10

2x + 7y + 4z = -9

5x + 3y + z = -5

x = -2

y = 5

z = -10

Vocab

100

Consists of two or more linear equations in the same variables.

System of linear equations (linear system)

200

The method of solving equations where you add or subtract equations to end up with one variable.

Elimination

300

What is it called when the graphed lines or equations are the same (coincide). Infinitely many solutions.

Dependent System

400

What is it called when  the graphed lines are parallel. (No Solutions)

Inconsistent system

500

What are lines that intersect at one point called? 

(One Solution)

Independent System