What is the solution of 2x – y = 5,  -8x + 4y = 2?

To solve the system of equations:

2x - y = 5 -8x + 4y = 2

We can use the method of substitution or elimination. Here, I'll use the elimination method.

First, we can multiply the first equation by 4 and the second equation by 1 to make the coefficients of y the same in both equations:

8x - 4y = 20 -8x + 4y = 2

Now, we can add the two equations together:

8x - 8x = 20 + 2 0 = 22

This is a contradiction (0 ≠ 22), which means the system of equations has no solution.