The second option x = 9 - y/5 is correct to represent the equation when solved for x.
For the equation: (4x + 3) + (-4y) + (x + 5y) = 48 given as the perimeter for the triangle, we can solve for the for x using the balance method as follows:
(4x + 3) + (-4y) + (x + 5y) = 48
open brackets;
4x + 3 - 4y + x + 5y = 48
group like terms;
4x + x + 5y - 4y + 3 = 48
5x + y + 3 = 48
subtract y and 3 from both sides;
5x + y - y + 3 - 3 = 48 - 3 - y
5x = 45 - y
divide through by 5;
5x/5 = 45/5 - y/5
x = 9 - y/5
Therefore, the equation when solved for x will give you x = 9 - y/5, which makes the second option correct.