Which statement about the system of linear equations

is true?

Examine the system of equations

y = 2x-3,

y = - 3

The lines have different slopes.

There is no solution to the system,

The lines have the same slope, but different y-

intercepts

The solution is (-3, - 9).

The lines have different slopes: first one is - 2, the second is 0

There is one solution and it is (3, - 3)

Step-by-step explanation:

straight line equation: ax + by + c = 0

slope m = - a/b

the first line has m = - 2/1 = - 2

the second has m = 0/1 = 0

to find the solution, if needed, simply consider the first equation and put - 3 as value of y (the second equation gives you that value straight away y = - 3)

so - 3 = 2x - 3

2x = - 3 + 3 so 2x = 0 therefore x = 0

The lines have different slopes: first one is - 2 and the second one is 0

There is one solution and it is (3, - 3)