Answer:
The solution is : (0,1) and (1,0)
Step-by-step explanation:
We want to solve the system of equations by graphing.
The system is;
[tex] {x}^{2} + {y}^{2} = 1 \\ x + y = 1[/tex]
The first equation,
[tex] {x}^{2} + {y}^{2} = 1[/tex]
is the equation of a circle, with center at the origin and radius 1.
The second equation is x+y=1.
This rewrite in the form;
[tex]y = - x + 1[/tex]
This is a straight line with a negative slope and intercepts at x=1, y=1.
The two graphs are drawn on the same graph sheet as shown in the attachment.
The two graphs intersect at (0,1) and (1,0).
Therefore the solution is : (0,1) and (1,0)
