Answer:
a = 36
Step-by-step explanation:
For the system to have no solution, the two lines must have the same slope and different y -intercept, that is, be parallel lines.
The slope of the first line is "-1/2" (negative one half) when we solve for y:
[tex]y = -\frac{1}{2} x+\frac{11}{6}[/tex]
so we want the slope of the second line to be the same, and the y-intercept to be different:
[tex]y=-\frac{a}{72} x+\frac{61}{36}[/tex]
We see that the y-intercepts are different, so all is needed now is to find the appropriate a that gives a slope = -1/2, and that a value is 36.
