Answer:
C.(3,3)
Step-by-step explanation:
Hello
to solve this by graphing we need to remember that the solution to a system of equations is when there is an intersection.
Step 1
Graph both equations
Let
(1) x+y-6=0
(2)x-y=0
isolating y from each equation
(1) x+y-6=0
y=-x+6
to graph a line two points are need, lets find it with x=0 and x=6
y(0)=-0+6
y(0)=6
hence, point 1 = (0,6)
Now, with x=6
y(6)=-6+6
y(6)=0
hence, point 2 =(6,0)
now, draw a line that crosses P1 and P2
Now, draw (2)
(2)x-y=0
y=x
with x=0 and x= 1
Y(0)=0
so, Point 1 =(0,0)
with x=1
Y(1)=1
so, Point 1 =(1,1)
now, draw a line that crosses P1 and P2
Step 2
check the point where the intersection is, that is the answer (3,3)
Have a great day
