Elimination
Solve:
x + 3y = -2
2x + 3y = -1
(1 , -1)
Solve:
4x + 3y = -10
y = -5x - 7
(-1 , -2)
Find the intersection:
y = 3x + 7
- 6x + 2y = 14
(-2 , 1)
Solve:
5x + y = 2
x + y = -2
(1, -3)
Which system of equations will have no solution?
a) y = -1/2x + 4 ; 2y = 2x + 8
b) 4x + 8y = -6 ; -2x - 4y = 3
c) y = -2x + 5 ; y = -2x - 7
d) x + y = 12 ; x - y = 12
C. Same coefficient different =
Solve:
-4x + 6y = 16
-6x + 2y = -4
Solve:
2x + y = 0
-x - y = -2
(-2 , 4)
Graph and solve:
y = 4
4x + 2y = 12
(1,4)
Solve:
-5x - 7y = 5
4x + y = 19
(6 , -5)
Create a pair of parallel equations that intersect
Answers Vary
Solve:
3x + 2y = 11
2x + y = 7
(3 , 1)
Solve:
y = -2x
-8x + 5y = 0
Identify the solution region for:
y ≤ 5x + 2
y < x - 2
Bottom Right Region
2x + y = 2
y = 3x - 3
(1, 0)
Which system of equations will have infinite solutions?
a) y = -1/2x + 4 ; 2y = 2x+8
b) 4x + 8y = -6 ; -2x - 4y = 3
c) y = -2x + 5 ; y = -2x - 7
d) x + y = 12 ; x - y = 12
B) Both are scaled versions of the same EXACT equation x + 2y = -3
Solve:
-6x - 2y = -5
6x + 4y = 15
(-5/6 , 5)
Solve:
x - 7y = -19
2x - 14y = -38
Infinite Solutions (NOT "All Real Numbers")
Find the solution region for:
y ≥ |x + 3| - 2
y < 1/2x + 1
Solve:
-7x + y = -5
14x - 2y = -3
No Solution
According to Mr. Gilmartin's 3 Algebra II classes, what color is History?
Orange
Solve:
y = -5x + 13
3x - y = 3
(2 , 3)
Solve:
3x + y = 3
8x - 12y = -13
(23/44 , 63/44)
Identify the solution region for:
y > 1/2 x + 2
|y| ≤ 3
Center Left Region
Solve:
x + 5y = 10
-7y - 3x = -6
(-5 , 3)
Create a pair of perpendicular equations that intersect at (0 , -6)
Answers Vary