A system of equations is shown below. y = 1.5x - 3
y = 1.5x + 4

Which statement is true about the system
A the system has no solution
B the solution has infinitely many soulutions
C the system has exactly one solution and it’s (0,-3)
D the system has exactly one solution and it’s (6,4)

Given:

The system of equations is

To find:

The true statement about the given system of equations.

Solution:

The slope intercept form of a line is

Where, m is the slope and b is the y-intercept.

We have,

On comparing these two lines with slope intercept form, we get

Since the slopes of the lines are equal but the y-intercepts are different, therefore, the two lines are parallel and the system has no solution.

Therefore, the correct option is A.

after simplifying it i got: -36.25 as my answer. hope that !