Line 1 13 x 1 Line 2 y 13 x 3 This system of equations is

Line 1: = -1/3 x +1 Line 2: y + -1/3 x -3 This system of equations is: inconsistent consistent independent consistent dependent This means the system has: a unique solution infinitely many solutions no solution Line 1: y = -1/3 x -4 Line 2: x + 3Y = -12 This system of equations is: inconsistent consistent independent consistent dependent This means the system has: a unique solution infinitely many solutions no solution Line 1: y = -1/2 x +1 Line 2: y = 1/2 x +1 This system of equations is: inconsistent consistent independent consistent dependent This means the system has: a unique solution infinitely many solutions no solution

Solution

As the two lines are parallel with slope m = -1/3 we can say that

the system of equation is inconsistent and no solution

b) As two lines are same

when converted into y = mx + b

As y = -1/3 x - 4

so inconsistent and no solution