👤

Answer :

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)