how many solutions does the system of equations have y=4x+3 and 2y - 8x=3

Answer 1

To find the number of solutions the system of equations has, we can solve the equations simultaneously:

We are given the equations:
1) y = 4x + 3
2) 2y - 8x = 3

First, let's substitute the value of y from equation 1) into equation 2):
2(4x + 3) - 8x = 3
8x + 6 - 8x = 3
6 = 3

This simplifies to 6 = 3, which is not a true statement. It means that the equations are inconsistent, and therefore the system has no solution. Thus, the system of equations has 0 solutions.