Final answer:
To graph the system of equations y=2x-1 and y=-x+5, plot the point of intersection and draw lines with the given slopes. The solution is represented by the region where the lines overlap, which is Quadrant I.
Step-by-step explanation:
To graph the system of equations y=2x-1 and y=-x+5, start by plotting the points where the two lines intersect. To do this, set the equations equal to each other and solve for x: 2x-1=-x+5.
Simplifying, we get 3x=6, or x=2. Substitute this value back into either equation to find y: y=2(2)-1=3. So the point of intersection is (2,3).
Plot this point on the coordinate plane and draw lines that pass through this point and have the slopes of the given equations.
The region where the lines overlap represents the solution, which is Quadrant I. Therefore, the correct answer is A) Quadrant I.