Question

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

Answer 1

Answer:

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

Step-by-step explanation:

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

Given (1,4)=

$\frac{3x - 4}{2}$

This implies:

$1 = \frac{3x - 4}{2}$

$3x - 4 = 2 \\ 3x = 2 + 4 \\ \frac{3x }{3} = \frac{6}{3} \\ x = 2$

In a similar way,

$4 = \frac{ - 2 + 5y}{2} \\ - 2 + 5y = 8 \\ 5y = 10 \\ y = 2$

The question demanded (x,-y)

Hence(2,-2) is the answer