rules each team will start with 300 points. before each question, you will wager 30 or 50 points....
TRANSCRIPT
RulesEach team will start with 300 points.Before each question, you will wager 30
or 50 points.You will earn those points if you are
correct and you will lose those points if you are wrong.
Winner will receive 1 extra credit points on tomorrow’s test.
Use the substitution method to solve this system. Is the system consistent or
inconsistent? Dependent or not dependent?
3 15 1
5 4
x y
x y
3( ) 15 1
12 15
!
4
15 1
1
5
.
12
No sol
y
y
ution Inconsistent and
not dep
y
endent
y
5 4
3 15 1
x y
x y
4 5x y
Solve this system. Is the system consistent or inconsistent?
2 3 4
4 2 9
3 5 2 5
x y z
x y z
x y z
2 3 4
(3 4 2 9)
x y z
x y z
2 3 4
12
14 5 23
6 3 27
x y z
x y
x y
z
5(1
14 5
1
23
23)
x
x y
y
(2,1,3) .Inconsistent
3 5 2 5
(42 2 9)
x y z
x y z1
3 5 2 5
8 4 2
1 23
18
x y z
x y
x y
z
14 5 23
55 5 115
69 138
2
x y
x y
x
x
11 23
2
(2
3
)
2 2
1
y
y
y
Use the graphing method to solve this system.
4
7
x y
x y
4
7
x y
x y
7
4
y x
y x
No Solution – Parallel Lines
2
1 5
3
y
x
y x
5
3
2
1
y x
x
y
(1,2) , (5,2) , (1,4) , (5,8)
22
0.2 0.1 3.20
x y
x y
22y x
0.2 0.1(22 ) 3.20
0.2 2.2 0.1 3.20
.1 2.2 3.20
.1 1
10
x x
x x
x
x
x
22 10
12
y
y
.25 .50 .40(10)
10
x y
x y 10x y
.25(10 ) .50 .40(10)
2.5 .25 .50 4
2.5 .25 4
.25 1.5
6
y y
y y
y
y
y
10 6
4
x
x
Slower
Faster
50( 3)
100
d t
d t
100 50( 3)
100 50 150
50 150
3
t t
t t
t
t
3 0
100
0
3
d
d
miles
Use the substitution method to solve this system.
1
10 2 38
x y
x y
10( 1) 2 38
10 10 2 38
8 48
6
y y
y y
y
y
1
10 2 38
x y
x y
1
6 1
5
x y
x
x
(5,6)
Use the elimination method to solve this system.
2 5
3 4 57
x y
x y
( ) 42 5
3 4 57
x y
x y
8 4 20
3 4 57
11 77
7
x y
x y
x
x
2(7) 5
14 5
9
9
y
y
y
y
(7,9)
2 5
2 5
x y
x y
2 5
2 5
x y
x y
2 5
2 5
x y
x y
Same Line-Infinitely Many Solutions
3 2y x
3 2y x