+876 Using Angle Bisector Theorem, we have 10.5 / y = 16.5 / x (EQ 1)
We also have that x+y=9. (EQ 2)
cross multiplying EQ 1, we have 10.5x=16.5y
x2 to both sides: 21x=33y
dividing by 3: 7x=11y
x = 11/7 * y (EQ 3)
EQ 2 and EQ 3: 11y/7 + y = 9
11y/7 + 7y/7 = 9
(18y)/7 = 9
Divide both side by 9: 2y/7 = 1
Multiply both side by 7: 2y=7
Divide both side by 2: y=3.5 (EQ 4)
Substitute EQ 4 into EQ 2: 3.5+x=9
x=9-3.5
x=5.5
x=5.5, y=3.5
