Answer:
(x, y) ∈ { (4, 0) }
Step-by-step explanation:
When the equations are in standard form (or close to it), it is often convenient to graph them using their x- and y-intercepts. The x-intercept is found by setting y=0 and solving for x. The y-intercept is found by setting x=0 and solving for y.
2x -4y = 8
x-intercept = 8/2 = 4
y-intercept = 8/-4 = -2
3x +4y = 12
x-intercept = 12/3 = 4
y-intercept = 12/4 = 3
__
The two x-intercepts are the same, so that is the solution to the system of equations: (x, y) = (4, 0). There are various ways to write this in set notation. Simply listing the set of solutions is one of them: { (4, 0) }.
_____
Additional comment
Standard form is ax+by=c, where 'a' is positive and a, b, c are mutually prime integers (have no common factors). In the first equation, all of the coefficients are even, so 2 is a common factor. In standard form, that equation would be ...
x -2y = 4
