Question #3fd9f

Apr 5, 2017

$2 - \left(0 , 5\right) , \left(- 1 , 4\right) , \left(2 , 7\right)$
See explanation below:

Explanation:

As per given coordinates I assume they are all two dimensional coordinates.

Therefore, solving the given equation we get:

$2 y - 2 x = 10$
$2 \left(y - x\right) = 10$
$y - x = \frac{10}{2}$
$y - x = 5$
Multiply both sides with -1 we get:
$x - y = - 5$

Now:
from the given coordinate sets:

from 1:
$\left(2 , 5\right) , \left(0 , 5\right) , \left(5 , 0\right)$ only $\left(0 , 5\right)$ satisfy the equation.

from 2:
$\left(0 , 5\right) , \left(- 1 , 4\right) , \left(2 , 7\right)$ All of them satisfy the equation.

from 3:
$\left(0 , - 5\right) , \left(1 , - 4\right) , \left(- 4 , - 9\right)$ only $\left(0 , 5\right)$ satisfy the equation.

So, if they are asking only a set then Set 2 is the answer which satisfy the given equation.