Answer:
A. y = 4x + 5 and y = 4x – 5
Step-by-step explanation:
If the system of equations have the same slope and different y-intercept, then it will have no solution.
From the given options, let's find the slope and y-intercept.
A. y = 4x + 5 and y = 4x - 5
Slope = 4 and y-intercepts are 5 and -5
Here we have the same slope and different y-intercepts. So, this is systems of equations have no solution.
B. y = 4x + 5 and 2y = 8x + 10 => y = 4x + 5
Both are the same equations.
This system has an infinite number of solutions.
The answer is A) y = 4x + 5 and y = 4x – 5
