Which graph represents the solution of the system {x^2+y^2=4
x-y=1?

See attached picture.

Step-by-step explanation:

Graph the line using a y-intercept -1 and slope 1.

Graph the equation with vertex (0,0) and radius 2.

Answer with explanation:

The two system of equation , one of which is a circle and another is line

 x²+y²=4

x -y=1

has either no intersection point, that is the  line and circle will not intersect.

Has one point of intersection, which will be tangent to the circle.

Third , the line will cut the circle at two points,that is there are two points of intersection of line and circle.

Plotting the graph of circle and line , found that line will cut circle at two distinct points.