Solving Systems All Methods

Fibonacci

100

y = -2x - 1

y = 3x - 16

(3, -7)

200

y = 2x + 11

5x + 3y = 0

(-3,5)

300

4x - 9y = 10

-x - 9y = -9

(0,1)

400

y = 5x - 24

5x - y = 24

Infinite Solutions

500

6x - 6y = 24

-4x + 8y = 8

(10, 6)

Gertrude

100

-4x + 2y = -16

y = 0

(4,0)

200

Draw an example of the graph of a dependent system.

One line because they're the same

300

Given f(x) = -x²+6x+9, find f(3).

0

400

-6x + 12y = 30

5x - 6y = -1

(7, 6)

500

6x + 8y = 6

10x + 10y = 30

(9, -6)

Bernie

100

Draw an example of the graph of an inconsistent system.

Parallel Lines

200

-9x - 5y = 5

9x + 3y = 15

(5,-10)

300

DOUBLE JEOPARDY:

What is Mrs. Shamble's favorite color?

Black

400

2x + 6 = 8

x = 1

500

-5x - y = -30

10x + 2y = -29

No solution

Russell

100

y = 8x - 11

y = -2x - 1

(1, -3)

200

8x - 4y = -24

-5x + 4y = 0

(-8,-10)

300

-4x + 10y = 14

9x + 10y = 1

(-1, 1)

400

Solve.

7/x = 2/3

x=10.5

500

-5x - 3y = 15

-4x - 10y = -26

(-6, 5)

Mr. Shamble

100

Draw an example of the graph of an independent system.

Intersecting Lines

200

-x + 3y = -18

y = x - 2

(-6,-8)

300

3x - 4y = -2

-4x + 8y = 24

(10, 8)

400

DOUBLE JEOPARDY:

What is Mr. Logan's favorite color?

???

We have to ask him!

500

-24x - 15y = -30

-16x - 10y= -20

Infinite Solutions