Answer:
(A) 272
Step-by-step explanation:
This system could have been made a lot harder! A good idea is to look at the simplest equation. The second equation is simpler because it doesn't even have x in it! You can solve it for y:
[tex]y-8=24 \\y=24+8=32[/tex]
Now put that value of y into the first equation.
[tex]\frac{x}{2}=2+\frac{1}{2}(32) \\ \frac{x}{2}=2+16=18[/tex]
Solve for x by multiplying both sides of the equaton by 2.
[tex]\frac{x}{2}=18 \\ x=36[/tex]
Finally, put the values of x and y into the expression at the end of the question.
[tex]x^2-y^2 \\ (36)^2-(32)^2 \\ 1296-1024 \\ 272[/tex]
