The midpoint of (3 x, -2) and (-4, 5y) is (1,4). find x, -y

Question

asked Mar 24, 2022 150k views

1 Answer

EwH · Answer 1 · 2022-03-27T23:46:24+0000

Answer:

(x,-y): (2,-2)

Explanation:

M=(x+x)/2,(y+y)/2

Given (1,4)=

(3x - 4)/(2)

This implies:

1 = (3x - 4)/(2)

$3x - 4 = 2 \\ 3x = 2 + 4 \\ (3x )/(3) = (6)/(3) \\ x = 2$

In a similar way,

$4 = ( - 2 + 5y)/(2) \\ - 2 + 5y = 8 \\ 5y = 10 \\ y = 2$

The question demanded (x,-y)

Hence(2,-2) is the answer