Question

The mid point of (2, 3), (5, 6) is equal to the mid point (y – 6) and (–3, x), then find x, y.​

Answer 1

Step-by-step explanation:

2+5/2=y-3/2 and 5+6/2= x-6/2

y=10 and x=17

Answer 2

Answer:

x = 15        y = 10

Step-by-step explanation:

Mid point formula = $\frac{x1+x2}{2} ,\frac{y1+y2}{2}$

Mid point of (2, 3), (5, 6) = $\frac{2+5}{2} ,\frac{3+6}{2} = \frac{7}{2} ,\frac{9}{2}$

mid point (y – 6) and (–3, x) =  $\frac{y-3}{2} ,\frac{-6+x}{2}$

$\frac{y-3}{2}$ = $\frac{7}{2}$

y-3 = 7

y = 10

$\frac{-6+x}{2} =\frac{9}{2}$

-6+x = 9

x = 15