Graphing
y = 2x + 2
y = x - 1
(-3, -4)
y = 2
3x + 2y = 10
(2, 2)
x + 3y = 5
2x -3y = -8
(-1, 2)
y = 2x + 4
y = 3x + 2
(2, 8)
x + 3y = 2
-x + 2y = 3
(-1, 1)
-5y + 8x = -18
5y + 2x = 58
(4, 10)
x = 3
y = 2x + 1
(3, 7)
x - 2y = -10
3x - y = 0
(2, 6)
3y - 5x = -26
-2y - 5x = -16
(4, -2)
4x + 2y = 8
2x + y = 4
No solution
2x – 3y = –2
4x + y = 24
(5, 4)
3x−4y=8
18x−5y=10
(0, -2)
y≤x−2
y>−3x+5
Shaded toward the bottom right
A linear system with no solution
the equations 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)
2x – 3y < 12
x + 5y < 20
Darkly shaded top left corner
A linear system with infinitely many solutions, when the graphs of the equations are the same
when the graphs of the equations are the same