The coordinates of the two points in the coordinate plane are (3x + 2, 5 ) and (3, 2y + 1) and the coordinate of the midpoint is (13, 8). Find the coordinates of the endpoints. help pls

(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)

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