Answer:
(5/3, 1/3)
Explanation:
To find the intersection point of the system, we need to make the equations equal as follows:
-x + 2 = 2x - 3
So, solving for x, we get:
-x + 2 + 3 = 2x - 3 + 3
-x + 5 = 2x
-x + 5 + x = 2x + x
5 = 3x
5/3 = 3x/3
5/3 = x
Then, replacing x by 5/3, we get that y is equal to:
y = -x + 2
y = -5/3 + 2
y = 1/3
Therefore, the intersection point is (x, y) = (5/3, 1/3)