Systems in 3 variables
Solve by Substitution
Solve by Elimination
Systems in General
???
100

What is the solution?

y = 4x

x + 2y - z = 7

3x - 4y + 2z = -9

What is (1, 2, 4)

100

Solve the systems of equations using substitution:

-3x + 4y = -2

y = -5

(-6, -5)

100

Solve the systems of equations using Elimination:

14x + 2y = 26

-14x - 6y = -50

(1, 6)

100

What strategy would you use?

14x + 2y = 26

-14x - 6y = -50

elimination

100

What school does the Mountaineers play on Friday?

RCB

200

What is the solution?

x - 2y + z = -11

3x + 2y - z = 7

-x + 2y + 4z = -9

What is (-1, 3, -4) ?

200

Solve the systems of equations using substitution:

-5x - 5y = 10

y = -4x -17

(-5, 3)

200

Solve the systems of equations using Elimination:

-3x - 5y = 2

3x + 5y = 7

No Solution

200

What strategy would you use?

-5x - 5y = 10

y = -4x -17

substitution

200

What is the difference between an equation and an expression? 

An equation has an equals sign and an expression doesn't.

300

What is the solution?

x + 4y - 6z = -1

2x - y + 2z = -7

-x + 2y - 4z = 5


What is (-3, -1, -1) ?

300

Solve the systems of equations using substitution:

y = -2x - 9

3x -6y = 9

(-3, -3)

300

Solve the systems of equations using Elimination:

-6x - 10y = 4

6x + 10y = 0

No Solution

300

Is there 1 solution, No solution, or Infinite solutions for the system of linear equations below?

3x - y = 19

-3x + y = 10

No Solutions

300

Which math class traditionally comes before Algebra 2?

What is Geometry?


400

What is the solution?

x + y - 2z = 5

-x + 2y + z = 2

2x + 3y - z = 9

What is (1, 2, -1) ?

400

Solve the systems of equations using substitution:

-8x - 5y = -24

-x + y = 10

(-2, 8)

400

Solve the systems of equations using Elimination:

-3x - 24y = -66

3x + 4y = -14

(-10, 4)

400

Is the given point a solution to the system of equations? 

Point:  (2,6)

x + y = 8

3x - y = 0

Yes

400

Where does the soccer team play on Tuesday?

Grafton

500

The solution of:

3x - y + 2z = 4

6x - 2y + 4z = -8

2x - y + 3z = 10

What is no solution?

500

Solve the systems of equations using substitution:

-8x + y = -7

16x - 2y = 14

Infinitely Many Solutions

500

Solve the systems of equations using Elimination:

-15x + 6y = -36

8x - 6y = 22

(2, -1)

500

Is the given point a solution to the system of equations?

Point: (1/2, -2)

6x + 5y = -7

2x - 4y = -8

No

500

What is on today's lunch menu?

Popcorn Chicken & Mashed Potatoes