3x + 1y = ¹/₃ ⇒ 9x + 3y = 1
2x - 3y = 2²/₃ ⇒ 2x - 3y = 2²/₃
11x = 3²/₃
11 11
x = ¹/₃
3x + y = ¹/₃
3(¹/₃) + y = ¹/₃
1 + y = ¹/₃
- 1 - 1
y = ⁻²/₃
(x, y) = (¹/₃, ⁻²/₃)
<u>Answer:</u>
Mid point = 
<u>Step-by-step explanation:</u>
We are given the coordinates of the end points of a line segment AB and we are to find the coordinates of its mid point.
The coordinates of the end points are: A (-1, -2) and B (6, 12).
We know the formula of the mid point:
Mid point = 
So putting in the given values to find the mid point of line segment AB:
Mid point =
= 
4/3 - (-3/4)
4/3 + 3/4
16/12 + 9/12
25/12 = 2 1/12
Hope I helped :)