Answer
$\text{no solution}$
Work Step by Step
Rewrite both equations so that all the variables are on one side of the equation and the constants are on the other:
$-2x + 4y = 6$
$-4x + 8y = -12$
We need to modify one equation so that one of the variables is the same in both equations but differing in sign. Let us multiply the first equation by $-2$ to obtain the equivalent system
$4x - 8y = -12$
$-4x + 8y = -12$
Add the equations together:
$(4x-8y)+(-4x+8y) = -12+(-12)$
$0=-24$
This statement is false, which means that the system of equations has no real solutions because the lines are parallel to each other and never intersect each other.
