Any Strategy
y = 2x + 2
y = x - 1
(-3, -4)
y = 2
3x + 2y = 10
(2, 2)
x + 3y = 5
2x -3y = -8
(-1, 2)
y = -x +5
y = x + 1
Which point is the solution to this linear system?
A. (2, 3) C. (3, 2)
B. (2, 2) D. (4, 6)
A
Consists of two or more linear equations with the same variables.
System of linear equations (linear system)
y = 2x + 4
y = 3x + 2
(2, 8)
x + 3y = 2
-x + 2y = 3
(-1, 1)
-5y + 8x = -18
5y + 2x = 58
(4, 10)
y = 3x -5
y = -1/4x - 7/4
Which point is the solution to this linear system?
A. (-1,2) C. (1,-2)
B. (-1,-2) D. (1,2)
C.
x = 3
y = 2x + 1
(3, 7)
x - 2y = -10
3x - y = 0
(2, 6)
3y - 5x = -26
-2y - 5x = -16
(4, -2)
y = 5x
x + y = -6
Which point is the solution to this linear system?
A. (0,0) C. (-4, -2)
B. (1,5) D. (-1,-5)
D.
How can you tell if a linear system has infinitely many solutions?
The equations are the same or will be equivalent when simplified.
4x + 2y = 8
2x + y = 4
No solution
2x – 3y = –2
4x + y = 24
(5, 4)
3x−4y=8
18x−5y=10
(0, -2)
x + 2y = 8
3x - 4y = 4
Which point is the solution to this linear system?
A. (6, 1) C. (0, -1)
B. (4, 2) D. (8, 0)
B
How do I get no solution in a system on equations.
The lines are parallel.
y = 1/2 x + 2
y = 1/4 x + 4
(8, 6)
5x - y = -13
-5x +2y = 24
no solution
4x−9y−2=0
12x−5y+38=0
(-4, -2)
y = 1/2x - 8
2x + 5y = -13
Which point is the solution to this linear system?
A. (16, 0) C. (0, -8)
B. (6, -5) D. (1, -7.5)
B.
How do you know if a system of equations only has 1 solution?
The equations have a different slope.