Answer:
the system has infinitely many solutions
Explanation:
Given the expressions
y - 2x = 4 .... 1
2x -y - 4 = 0 .... 2
We are to find the solution to the equation as shown
From equation 1: y = 4+2x
Substitute into 2:
2x - (4+2x) - 4 = 0
2x - 4 - 2x - 4 = 0
0 = 0
This shows that the equation has infinite number of solutions
Let y = k
Get x
Substitute y = k into equation 2
From 2: 2x -y - 4 = 0
2x - k - 4 = 0
2x = k+4
x = (k+4)/2 where k is any integer
Hence the system has infinitely many solutions