Question

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

Answer 1

(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