Solve the system by graphing (Simplify your answer completely.) Will someone please help me with this and give an explanation on how you got it? I don’t understand.

{x+y=8
{x-y=4

(6,2)

Step-by-step explanation:

1) convert both equations  to slope intercept form:

y=-x+8

and

y=x-4

now graph both equations separately by intercepts:

x int:  0=-x+8

-8=-x

8=x

y int:  y=0+8

y=8

so the two coordinate points for first equation are (0,8) and (8,0)

lets move on two second equation: y=x-4

x int:  0=x-4

4=x

y int y=0-4

y=-4

so the 2 coordinate points are (4,0) and (0,4)

lets graph these two equations and see where they intersect:

(see graph below), the intersection is at (6,2) so (6,2) is our answer

hope this helps

A linear function has a constant rate of change, while a nonlinear function does not. For a table of values to be linear, the outputs must have a constant rate of change as the inputs increase by 1. On a graph, the function must be a straight line to be linear.