I'd do this in reverse order. Mult. each of the 3 terms inside parentheses by 4:
8k^2 - 28k + 12
Multiply you first equation by 2 to get 4x + 10y = 22
Now the x terms can be eliminated and cancelled out using elimination.
4x + 10y = 22
4x + 3y = 1
To eliminate you need to "subtract", so you need to multiply one of the equations by -1.
4x + 10y = 22
-4x -3y = -1
------------------
0 + 7y = 21
y = 3
Now plug 3 into either one of the equations to get x.
It already is in simplest form because the numerator and denonimator don't have a common factor to then divide them by.
Tot answer his question will need to use the Pythagorean Theron which involves you using a squared plus b squared Egypt’s c squared that will be the Theron need to solve this problem