Opener #1
2.5x - y = 11
3.25x + y = 12
y = 2.5x - 11
y = -3.25x + 12
!
!
Opener/Notes #3
(0, 12)
Work on the opener
with your group.
(4, -1)
Solve the system of
equations by graphing.
Hints:
1. Solve each equation for
y first.
2. Put each eqn. into the
calculator.
3. Graph, Calc, Intersect,
enter, enter, enter
4. Name 2 points on each
line, one being the
intersection (solution)
(0, -11)
Solution: (4, -1)
Independent and Consistent
Opener #1--Algebraically
2.5x - y = 11
3.25x + y = 12
5.75x = 23
x=4
2.5(4) - y = 11
y = -1
Solution: (4, -1)
Independent and Consistent
Opener #2
a) 6x2 - 5x - 6
(2x - 3)(3x + 2)
b) 45a2 + 96a - 21
3(5a - 1)(3a + 7)
Homework #2
Homework #2
#24 pg. 139
#24 pg. 139
(3, 8)
(3, 8)
(4, 8)
(4, 8)
(4, 1)
(4, 1)
x-axis
(-2, -2)
x-axis
(-2, -2)
y-axis
y-axis
Area = 6*10-.5(6*3) - .5(5*10)
= 26 square units
Target Goal:
Solve systems of equations in three
variables.
Note:
Answer as an ordered triple: (x, y, z)
Sample #1
x + y + 3z = 7
2x
-z=6
z=4
See board for work
Sample #1
Solution
(5, -10, 4)
Sample #2
x + 2z = 5
-4x + 6y = 0
x - 2z = 9
See board for work
Sample #2
Solution
(7, 14 , -1)
3
Sample #3
4x + 6y + 4z = 2
2x - 9y + 8z = -17
6x + 15y - 4z = 19
See board for work
Sample #3
Solution
(0, 1, -1)
Sample #4
2x + y - 3z = 5
x + 2y - 4z = 7
6x + 3y - 9z = 15
See board for work
Sample #4
Solution
Infinite Solutions
Sample #5
3x - y - 2z = -1
6x + 4y + 8z = 4
9x + 6y - 12z = 30
With your group!
Sample #5
Solution
(0, 3, -1)
Homework #3
p. 171; 1, 3, 5, 9-19 odd
Individual Quiz #1-#5
with notes and homework (24 points.)
See board for date.
Mark your Assignment Notebooks.
Target Goal:
Solve systems of equations in three
variables.
Note:
Answer as an ordered triple: (x, y, z)