Answer: A. I
Explanation:
x + y − 4 = 0 can be rewritten as y = −x + 4.
x − y = 0 can be rewritten as y = x.
These equations represent two lines on a graph.
The first equation y = −x + 4 has a y-intercept of 4 and a slope of -1. The second equation y = x has a slope of 1 and passes through the origin (0, 0).
Equation 1: y = −x + 4
Equation 2: y = x
The point where these lines intersect represents the solution to the system of equations.
When you graph these lines, you'll see that they intersect at the point (2, 2). This point lies in Quadrant I.
So, the solution lies in Quadrant I.