Solving for Systems

Graphing Systems

100

y = 1/2x - 3

y = -5/4x + 4

(4,-1)

200

y = -5x - 3

y = 2x + 4

(-1,2)

300

y = 5/2x + 2

y = 5/2x - 4

No Solution

400

2x + 2y = 6

x + 3y = -3

(6,-3)

500

y = -x + 5

5x + 3y = 15

(0,5)

Substitution Method

100

y = -2x + 1

y = 5

(-2, 5)

200

y = -2x + 2

x = y + 4

(2, -2)

300

y = -3x + 1

y=-2x + 9

(-8, 25)

400

y = -5x - 17

-3x - 3y = 3

(-4, 3)

500

-7x - 2y = -13

x − 2y = 11

(3, -4)

Elimination Method

100

-7x - 6y = 14

7x -3y = -14

(-2,0)

200

-4x - y = 18

4x - 6y = 24

(-3,-6)

300

-3x + 6y = -3

x - 8y = -17

(7,3)

400

-12x + 6y = -6

-6x + 3y = -6

no solution

500

-36x - 9y = 0

8x + 2y = 0

infinite solutions

Parallel and Perpendicular

100

Are they Parallel or Perpendicular? Solutions?

y=2x+3

y=2x-5

Parallel, no solution

200

Are they Parallel or Perpendicular? Solutions?

y=(5/3)x-1

y=(-3/5)x+7

Perpendicular, One Solution

300

Are they Parallel or Perpendicular? Solutions?

y=-7x+2

y=1-7x

Parallel, no solution

400

Create an equation that is parallel to y=8-5x

y=_____-5x

500

Create an equation that is perpendicular to y=(1/2)x+9

y=-2x+_____

Solve by Method of Choice

100

–8x − 10y = –8

x = 6

(6,-4)

200

y = x − 2

y = –x − 8

(-3,-5)

300

–4x + 9y = 3

–x − 9y = 12

(-3,-1)

400

6x + 4y = 12

5x + y = –4

(-2,6)

500

y = –x + 3

y = –4x − 9

(-4,7)