Systems of Linear Equations!

Solve by Graphing

100

y=-x-1

y=2x-10

(3,-4)

200

y=-x+3

y=2x

(1,2)

300

y=1

y=x+2

(-1,1)

400

y=2

x=3

(3,2)

500

y=-2x+1

y=-2x-3

No Solution

Solve by Substitution

100

y=3x+4

y=10

(2,10)

200

y=6x-4

y=-2x+28

(4,20)

300

y=x-2

2x+2y=4

(2,0)

400

2x-3y=-4

x=7-3y

(1,2)

500

y+4x=-3

2x+5y=-15

(0,-3)

Solve by Elimination

100

2x-2y=6

2x+2y=14

(5,2)

200

x-2y=9

3x+2y=-13

(-1,-5)

300

2x+4y=8

-20x-4y=28

(-2,3)

400

x+y=8

x-y=4

(6,2)

500

3y=4x-2

y=2x-2

(2,2)

Vocabulary

100

Two or more equations being solved at once

What is a system of equations?

200

The answer to a system of equations

What is a solution?

300

Two lines that will never intersect

What are parallel lines?

400

Two lines whose slopes are opposite reciprocals

What are perpendicular lines?

500

The form of an equation written as y=mx+b

What is slope-intercept form?

Which Method Is Best?

100

2x+y=4

10x-y=8

Elimination

200

y=3x-4

y=-x+4

Substitution

300

y=(1/2)x+3

y=2x-2

Graphing

400

4x+2y=16

x=2

Substitution

500

2x-4y=12

-8x+16y=-48

Elimination