ANSWER
One point (5, 3)
Step-by-step explanation
The two equations we are given are:
x + y = 8
x - y = 2
To plot these graphs, we have to let x be equal to 0, find y and then make y equal to 0 and find x.
For x + y = 8:
=> y = 8 - x
when x = 0:
y = 8 - 0
y = 8
when y = 0:
0 = 8 - x
x = 8
So, we have two points for the graph: (0, 8) and (8, 0)
For x - y = 2:
when x = 0:
0 - y = 2
=> y = -2
when y = 0:
x - 0 = 2
x = 2
This would not be sufficient, so let us assume x to be 8:
x = 8:
8 - y = 2
y = 8 - 2
y = 6
So, we will use two points for the graph: (0, -2) and (8, 6)
Let us plot them:
As we can see there is only one point of intersection and that point is (5,3)