8.3 Systems of Equations

Sports Day 2019

100

What department won the Staff Relay yesterday?

Science 

PE 

Math 

Arabic

Math

200

What teacher ran the first part of the relay for the Math team?

Mr Steve 

300

What PE teacher was running the Shot Putt with Mr Brian?

Mr Ian

400

What Math teacher was running the High Jump?

Mr Michael

500

What was the score in the Champions League match between Man Utd and PSG?

Man Utd 0-2 PSG

:-) 

Substitution

100

3x+4=y,    y=10

(2,10)

200

y=6x-4,    

x=2

(2,8)

300

y=2    

2x+2y=4

(0,2)

400

4x+y=18,    

y=2x

(3, 6)

500

3x+y=23    

y=x+3

(5, 8)

Elimination #1

100

x-y=3,    x+y=7

(5,2)

200

3x-y=12    

2x+y=3

(3, -3)

300

2x+4y=8,    

5x-4y=-1

(1, 3)

400

x-y=5    

x+y=3

(4,-1)

500

x-y=25    

x+y=13

(19,-6)

Elimination #2

100

x-y=5    

x+2y=5

(5,0)

200

x-y=5    

x+3y=9

(6,1)

300

2x-y=4    

-x+2y=7

(5,6)

400

5x+y=6    

x+2y=3

(1,1)

500

2x+y=10   

3x+y=6

(-4,18)

Vocabulary

100

What does it mean to be a solution to a system of equations?

The solution to a system of equations is where both lines intersect (meet). 

200

What does it mean when a system is dependent? (check your notes!)

Dependent means there are infinitely many solutions. 

300

What does it mean when a system is independent?

An independent system has one solution.

400

What does it mean when a system is inconsistent?

Inconsistent systems have no solution. 

500

What is meant by the term "Coefficient" in systems of equations.

It is the slope (or the number in front of x)