The two lines y = 4x+5 and y = 4x – 2 are parallel because their slopes are equal (both equal to 4). What happens when you try to algebraically solve for their intersection point?

When solving, you will get a false statement, and therefore there is no solution.

Step-by-step explanation:

Let's try to solve the system of equations. In this case, I used the substitution method and substituted 4x + 5 for the y in y = 4x-2:

In trying to combine the terms with the variable x, the 4x on both sides canceled themselves out, leaving me with 5 = -2. That is a false statement, as 5 does not equal -2. Therefore, since we cannot reach a solution, there is none.

step-by-step explanation: