What are all the coordinates that are solutions to the equation - 2x + 4y = - 10

(x, 1/2x - 5/2) where x is a real number.

Step-by-step explanation:

-2x + 4y = - 10 ⇔ 4y = 2x - 10 ⇔ y = 1/2x - 5/2

then any couple of the form (x, 1/2x - 5/2) is a solution to the equation

example:

let x = 7 then 1/2x - 5/2 = 1/2 (7) - 5/2 = 1

in this case - 2x + 4y = - 2 (7) + 4 (1) = - 14 + 4 = - 10

then (7,1) verify the equation