Y = 4x + 1 y = 4x + 3 How many solutions does the given system of (May 2023 U.S.)

Correct answer: A. Zero.
To solve this system of linear equations, we need to find the values of x and y that satisfy both equations simultaneously.

The given system of equations is:
y = 4x + 1
y = 4x + 3

To find the solution(s), we can equate the right-hand sides of the two equations:
4x + 1 = 4x + 3
Subtracting 4x from both sides:
1 = 3
This is a contradiction, as 1 is not equal to 3.

Therefore, the given system of equations has no solution, and the correct answer is:
A. Zero