Answer
$(.25, -1/6)$
Work Step by Step
In order to solve this problem, we multiply one or both of the equations by a value that will make one of the variables cancel. We multiply the top equation by 1, and we multiply the bottom equation by -2. Then, we add the two equations to obtain:
$ \frac{y}{3} -5y = 56/72 \\ y = -1/6 $
We plug in the given value into the top equation and solve for the other variable:
$ .5x + (1/3)(-1/6) = 5/72 \\ .5x = 9/72 \\ x = .25 $