Solve by graphing indicate wheather each system is independe

Solve by graphing, indicate wheather each system is independent, dependent, or inconsistent.

1. y = 2x - 1

x + y = 2

2. y = 3x - 4

y = -2x + 1

3. x + 2y = 4

y = -1/2x + 2

1) y = 2x - 1

x+y = 2

plugging y = 2x-1 into equation 2

x + 2x -1 = 2

3x = 3

x = 1

y = 1

system is consistent

2. y = 3x-4

y = -2x + 1

plugging y = 3x -4 into equation 2

3x-4 = -2x + 1

5x = 5

x = 1

y = -1

system is consistent

3. x+ 2y = 4

y = -1/2 x + 2

plugging y = -1/2x + 2 into equation 1

x + 2 ( -1/2 x + 2) = 4

x -x + 4 = 4

0 = 0

system is consistent and dependent