Suppose $K$ is a constant, such that no pair of real numbers $(x,y)$ satisfies this system of equations: $$6x + 4y = 7$$ $$Kx + 8y = 7$$

What is the value of $K$?
I need to find a value of $K$ that makes the system inconsistent, meaning there is no solution. One way to do that is to make the equations parallel, so they never intersect. That means I want the slopes of the lines to be equal. The slope of the first line is $-6/4 = -3/2$. The slope of the second line is $-K/8$. So I need to solve $-3/2 = -K/8$ for $K$. Multiplying both sides by $-8$, I get $12 = K$. This is the value of $K$ that makes the system have no solution. 