Answer:
(23,5) and (3,11)
Explanation:
first we need to use the midpoint formula which is:
( x1 +x2 / 2 , y1 + y2 / 2)
essentially what this formula does is take the average of the x coordinates and the average of the y coordinates to find the middle
we know the x coordinate of the midpoint is 13 and the y coordinate of the midpoint is 8
so now we substitute the values into the formula an
d solve
x1 = 3x + 2 y1 = 5
x2 = 3. y2 = 2y + 1
(3x + 2 + 3)/2 = 13 and (5 + 2y + 1)/2 = 8
solving each equation gives x = 7, and y = 5
finally we go to the original points and substitute in the values we found
(3x + 2, 5) = (3(7) + 2, 5) = (23,5)
(3, 2y + 1) = (3, 2(5) + 1) = (3, 11)
